Eulerian Superpath Problem. Given an Eulerian graph and a collection of paths in this graph, find an Eulerian path in this graph that contains all these paths as subpaths. To solve the Eulerian Superpath Problem, we transform both the graph G and the system of paths 풫 in this graph into a new graph G 1 with a new system of paths 풫 1.Find the Euler circuit for the graph. 3- Include a reverse version of the generated path to the final solution. Issues with first approach. Understanding and Implementing J.Edmond's algorithm (blossom algorithm) is a tedious task. More importantly, the solution is still not optimal (several edges are covered more than once due to pairing of odd ...In this video, I have discussed how we can find Euler Cycle using backtracking. Euler Path is a path in graph that visits every edge exactly once. Euler Circ...In this post, an algorithm to print an Eulerian trail or circuit is discussed. Following is Fleury's Algorithm for printing the Eulerian trail or cycle. Make sure the graph has either 0 or 2 odd vertices. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them. Follow edges one at a time.We would like to show you a description here but the site won't allow us.The process to Find the Path: First, take an empty stack and an empty path. If all the vertices have an even number of edges then start from any of them. If two of the vertices have an odd number of edges …This is a recursive algorithm implementation of Eulerian tour search. I guess there is no way to make it more efficient (except rewriting with loops instead of recursion). ... Eulerian Circuit algorithm. 3. Knight's Tour - Python. 5. Kings Tour Python. 2. Locate Primitive Value in Nested Sequence Type - Iterative version is slower than ...Such a sequence of vertices is called a hamiltonian cycle. The first graph shown in Figure 5.16 both eulerian and hamiltonian. The second is hamiltonian but not eulerian. Figure 5.16. Eulerian and Hamiltonian Graphs. In Figure 5.17, we show a famous graph known as the Petersen graph. It is not hamiltonian.This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: (2) For the graph below a) Find an Eulerian circuit, or prove that none exists. (b) Find a Hamiltonian circuit or prove that none exists. Show transcribed image text.In this post, an algorithm to print Eulerian trail or circuit is discussed. Following is Fleury's Algorithm for printing Eulerian trail or cycle (Source Ref1 ). 1. Make sure the graph has either 0 or 2 odd vertices. 2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them. 3.1 Answer. Sorted by: 1. For a case of directed graph there is a polynomial algorithm, bases on BEST theorem about relation between the number of Eulerian circuits and the number of spanning arborescenes, that can be computed as cofactor of Laplacian matrix of graph. Undirected case is intractable unless P ≠ #P P ≠ # P.A specific circuit-remover matrix O =11T−I O = 1 1 T − I, Where 1 1 is the column vector of N N ones. ( O O is basically a logically inverted unit matrix, 0 0 on diagonal and 1 1 everywhere else) Now define the matrix : {T0 =MTk+1 =M(O ⊗ Tk) { T 0 = M T k + 1 = M ( O ⊗ T k) Then calculate the sum.It may look like one big switch with a bunch of smaller switches, but the circuit breaker panel in your home is a little more complicated than that. Read on to learn about the important role circuit breakers play in keeping you safe and how...There is a standard method for checking whether a simple connected graph has an Eulerian Circuit. A simple connected graph has an Eulerian circuit iff the degree of every vertex is even. Then, you can just go ahead and on such a small graph construct one. For example, ABFECDEGCBGFA. However, all you need for an Eulerian path is that at least n ...So Euler's Formula says that e to the jx equals cosine X plus j times sine x. Sal has a really nice video where he actually proves that this is true. And he does it by taking the MacLaurin series expansions of e, and cosine, and sine and showing that this expression is true by comparing those series expansions.Other articles where Eulerian circuit is discussed: graph theory: …vertex is known as an Eulerian circuit, and the graph is called an Eulerian graph. An Eulerian graph is connected and, in addition, all its vertices have even degree.In Exercise, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. (b) If the graph does not have an Euler circuit, does it have an Euler walk? If so, find one. If not, explain why . finite math. In Exercise, (a) find an Euler walk if possible, and (b) find an Euler circuit if possible .The circuit is the "empty circuit" Since the graph has no edges, we've already passed every edge if we don't even move :D [Math] How to find an Eulerian circuit in a complicated Graph If a Eulerian circut exists, then you can start in any node and color any edge leaving it, then move to the node on the other side of the edge.is_eulerian# is_eulerian (G) [source] #. Returns True if and only if G is Eulerian.. A graph is Eulerian if it has an Eulerian circuit. An Eulerian circuit is a closed walk that includes each edge of a graph exactly once.. Graphs with isolated vertices (i.e. vertices with zero degree) are not considered to have Eulerian circuits.An Eulerian circuit is a circuit in an undirected multigraph which visits every edge exactly once. You may choose the formats of your program's input and output yourself. They don't need to be the same formats. For example, you may take a description of the edges like ({1,2},{1,4},{2,4},{2,3},{2,3}) as your input for this graphDec 11, 2021 · Semi–Eulerian. A graph that has an Eulerian trail but not an Eulerian circuit is called Semi–Eulerian. An undirected graph is Semi–Eulerian if and only if. Exactly two vertices have odd degree, and. All of its vertices with a non-zero degree belong to a single connected component. The following graph is Semi–Eulerian since there are ... An Eulerian graph is a graph containing an Eulerian cycle. The numbers of Eulerian graphs with n=1, 2, ... nodes are 1, 1, 2, 3, 7, 15, 52, 236, ... (OEIS A133736), the first few of which are illustrated above. The corresponding numbers of connected Eulerian graphs are 1, 0, 1, 1, 4, 8, 37, 184, 1782, ... (OEIS A003049; Robinson 1969; Liskovec …May 11, 2021 at 11:22. 10c2 is the permutation. - Aragorn. May 11, 2021 at 11:26. Add a comment. 4. Indeed, for Eulerian graphs there is a simple characterization, whereas for Hamiltonian graphs one can easily show that a graph is Hamiltonian (by drawing the cycle) but there is no uniform technique to demonstrate the contrary.Euler circuit. An Euler circuit is a connected graph such that starting at a vertex a a, one can traverse along every edge of the graph once to each of the other vertices and return to vertex a a. In other words, an Euler circuit is an Euler path that is a circuit.It is possible to determine if an undirected graph is Eulerian or semi-Eulerian without having to actually find the trail: If a graph has exactly two vertices of odd degree, then the graph is semi-Eulerian. These two vertices will be the start and the end of the open semi-Eulerian trail. If a graph has all even vertices, then the graph is ...May 11, 2021 at 11:22. 10c2 is the permutation. – Aragorn. May 11, 2021 at 11:26. Add a comment. 4. Indeed, for Eulerian graphs there is a simple characterization, whereas for Hamiltonian graphs one can easily show that a graph is Hamiltonian (by drawing the cycle) but there is no uniform technique to demonstrate the contrary.2 Answers. A graph is eulerian iff it has a Eulerian circuit. If you remove an edge, what was once a Eulerian circuit becomes a Eulerian path, so if the graph was connected, it stays connected. An eulerian Graph has a eulerian circuit (for example by Hierholzers algorithm) that visits each vertex twice and doesn't use the same edge twice.Beware reader! Stuff described here requires some background and could be pretty tricky. You won't get discouraged, will you? Google what you don't understand, find additional resources and ...I tried :Euler Trails [A,B,C,A,D,B,C] I tried :Euler Trails [A,B,D,E,G,F,D,C,A,D,G] but I am confused about Euler cir... Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.Euler Paths and Circuits. An Euler circuit (or Eulerian circuit) in a graph \(G\) is a simple circuit that contains every edge of \(G\). Reminder: a simple circuit doesn't use the same edge more than once. So, a circuit around the graph passing by every edge exactly once. We will allow simple or multigraphs for any of the Euler stuff.Paths traversing all the bridges (or, in more generality, paths traversing all the edges of the underlying graph) are known as Eulerian paths, and Eulerian paths which start and end at the same place are called Eulerian circuits.The Tucker's algorithm takes as input a connected graph whose vertices are all of even degree, constructs an arbitrary 2-regular detachment of the graph and then generates a Eulerian circuit. I couldn't find any reference that says, for example, how the algorithm constructs an arbitrary 2-regular detachment of the graph, what data structures it ...At that point you know than an Eulerian circuit must exist. To find one, you can use Fleury's algorithm (there are many examples on the web, for instance here). The time complexity of the Fleury's algorithm is O(|E|) where E denotes the set of edges. But you also need to detect bridges when running the algorithm.Learning Outcomes. Add edges to a graph to create an Euler circuit if one doesn’t exist. Find the optimal Hamiltonian circuit for a graph using the brute force algorithm, the nearest neighbor algorithm, and the sorted edges algorithm. Use Kruskal’s algorithm to form a spanning tree, and a minimum cost spanning tree.Given a strongly connected, undirected Eulerian graph (i.e. each vertex has an even degree), I'm trying to determine the Eulerian circuit that results in the minimum possible accumulative angular distance, where each vertex is a position in 2D space and each edge describes a straight line between the vertices. My Solution AttemptEuler took the map of the city and developed a minimalist representation in which each neighbourhood was represented by a point (also called a node or a vertex) and each bridge by a line (also called an edge). ... forming a closed circuit—each point should be linked to an even number of lines, since each time the traveller crosses a land mass ...Find the representation of the path for the graphs. Find any Euler circuit on the graph above. Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCA; Find any Euler circuit on the graph below. Give your answer as a list of vertices, starting and ending at the same vertex (for example, ABCA).Nov 26, 2021 · 👉Subscribe to our new channel:https://www.youtube.com/@varunainashots Any connected graph is called as an Euler Graph if and only if all its vertices are of... a. Find an Euler circuit for the graph above. b. If the edge (a-b) is removed from this graph, find an Euler trail for the resulting subgraph. Explain why you are able to find it or why you could not find it for both a and b. arrow_forward. Determine if the following graph contains a Euler circuit.Euler path is one of the most interesting and widely discussed topics in graph theory. An Euler path (or Euler trail) is a path that visits every edge of a graph exactly once. Similarly, an Euler circuit (or Euler cycle) is an Euler trail that starts and ends on the same node of a graph. A graph having Euler path is called Euler graph. While tracing Euler …Euler Path Examples- Examples of Euler path are as follows- Euler Circuit- Euler circuit is also known as Euler Cycle or Euler Tour.. If there exists a Circuit in the connected graph that contains all the edges of the graph, then that circuit is called as an Euler circuit.; OR. If there exists a walk in the connected graph that starts and ends at the same vertex and visits every edge of the ...A: An Euler circuit is a circuit that passes through every edge of graph exactly once and being a… Q: 3-Use a Karnaugh map to minimize the SOP expression:- ABC + ABC + ABC + ABC + ABC A: As given, I need to minimize the given SOP expression using Karnaugh map - AB¯C + A¯BC¯ + A¯ B¯C+ A¯…1, then we call it a closed trail or a circuit (in this case, note that ' 3). A trail (resp., circuit) that uses all the edges of the graph is called an Eulerian trail (resp., Eulerian circuit). If a trail v 1v 2:::v '+1 satis es that v i 6= v j for any i 6= j, then it is called a path. A subgraph of G is a graph (V 0;E 0) such that V V and ...A graph G is called an Eulerian Graph if there exists a closed traversable trail, called an Eulerian trail. A finite connected graph is Eulerian if and only if each vertex has even degree. Euler proved that a necessary condition for the existence of Eulerian circuits is that all vertices in the graph have an even degree.has an Euler circuit" Base Case: P(2): 1. Because there are only two edges, and vertex degrees are even, these edges must both be between the same two vertices. 2. Call the vertices a and b: Then (a;b;a) is an Euler circuit. Inductive Case: P(n) !P(n+ 1): 1. Start with connected graph G with n + 1 edges and vertices all of even degree. 2.For an Eulerian circuit, you need that every vertex has equal indegree and outdegree, and also that the graph is finite and connected and has at least one edge. Then you should be able to show that . a non-edge-reusing walk of maximal length must be a circuit (and thus that such circuits exist), andThis is an algorithm to find an Eulerian circuit in a connected graph in which every vertex has even degree. 1. Choose any vertex v and push it onto a stack. Initially all edges are unmarked. 2. While the stack is nonempty, look at the top vertex, u, on the stack. If u has an unmarked incident edge, say, to a vertex w, then push w onto the ...A graph G is called an Eulerian Graph if there exists a closed traversable trail, called an Eulerian trail. A finite connected graph is Eulerian if and only if each vertex has even degree. Euler proved that a necessary condition for the existence of Eulerian circuits is that all vertices in the graph have an even degree.What are Eulerian circuits and trails? This video explains the definitions of eulerian circuits and trails, and provides examples of both and their interesti...A source code implementation of how to find an Eulerian PathEuler path/circuit existance: https://youtu.be/xR4sGgwtR2IEuler path/circuit algorithm: https://y...A Eulerian Trail is a trail that uses every edge of a graph exactly once and starts and ends at different vertices. A Eulerian Circuit is a circuit that uses every edge of a network exactly one and starts and ends at the same vertex.The following videos explain Eulerian trails and circuits in the HSC Standard Math course. The following video explains this concept further.In this post, an algorithm to print Eulerian trail or circuit is discussed. Following is Fleury's Algorithm for printing Eulerian trail or cycle (Source Ref1 ). 1. Make sure the graph has either 0 or 2 odd vertices. 2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them. 3.I just wish to double check something about b) any graph, G, that is connected and has all odd degree vertices has a L(G) that has a euler cycle while G does not. This means that G does not necessarily have to be a complete graph.An Eulerian circuit is an Eulerian trail degree. The graph with its edges labelled according that is a circuit i.e., it begins and ends on the same to their order of appearance in the path found. Steps vertex. A graph is called Eulerian when it contains that kept in mind while traversing Euler graph are an Eulerian circuit. ...We review the meaning of Euler Circuit and Bridge (or cut-edge) and discuss how to find an Euler Circuit in a graph in which all vertices have even degree us...This video explains how to determine the values of m and n for which a complete bipartite graph has an Euler path or an Euler circuit.mathispower4u.comA graph that has an Euler circuit cannot also have an Euler path, which is an Eulerian trail that begins and ends at different vertices. The steps to find an Euler circuit by using Fleury's ...Euler Circuit Examples- Examples of Euler circuit are as follows- Semi-Euler Graph- If a connected graph contains an Euler trail but does not contain an Euler circuit, then such a graph is called as a semi-Euler graph. Thus, for a graph to be a semi-Euler graph, following two conditions must be satisfied-Graph must be connected. We denote the indegree of a vertex v by deg ( v ). The BEST theorem states that the number ec ( G) of Eulerian circuits in a connected Eulerian graph G is given by the formula. Here tw ( G) is the number of arborescences, which are trees directed towards the root at a fixed vertex w in G. The number tw(G) can be computed as a determinant, by ...Euler's Circuit Theorem. The first theorem we will look at is called Euler's circuit theorem.This theorem states the following: 'If a graph's vertices all are even, then the graph has an Euler ...Using the graph shown above in Figure 6.4. 4, find the shortest route if the weights on the graph represent distance in miles. Recall the way to find out how many Hamilton circuits this complete graph has. The complete graph above has four vertices, so the number of Hamilton circuits is: (N - 1)! = (4 - 1)! = 3! = 3*2*1 = 6 Hamilton circuits.Dec 2, 2015 · At that point you know than an Eulerian circuit must exist. To find one, you can use Fleury's algorithm (there are many examples on the web, for instance here). The time complexity of the Fleury's algorithm is O(|E|) where E denotes the set of edges. But you also need to detect bridges when running the algorithm. Then with t i as above, for any i, the number of Eulerian circuits is k=t i · ∏ j=1 n (d(j)−1)!. Since k is fixed, it is a corollary that all the t i 's, and thus all the cofactors of the Laplacian, are equal. For pairings, the in- and outdegrees are all equal to two, and thus the number of Euler circuits is exactly the number of spanning ...👉Subscribe to our new channel:https://www.youtube.com/@varunainashots Any connected graph is called as an Euler Graph if and only if all its vertices are of...Find shortest path. Create graph and find the shortest path. On the Help page you will find tutorial video. Select and move objects by mouse or move workspace. Use Ctrl to select several objects. Use context menu for additional actions. Our project is now open source.The Euler Circuit is a special type of Euler path. When the starting vertex of the Euler path is also connected with the ending vertex of that path, then it is called the Euler Circuit. To check whether a graph is Eulerian or not, we have to check two conditions −. The graph must be connected. The in-degree and out-degree of each vertex must ...Eulerian cycle-accessible all node once and again,compulsory cross every node while Hamiltonian cycle-node must be pass through once only ,can skip node. - user6788. Feb 9, 2011 at 11:10. No, Eulerian cycles use all edges and return to start. Hamiltonian cycles use all vertices once each and return to start. - Ross Millikan.that are adopted to find Euler path and Euler cycle. Keywords:- graph theory, Konigsberg bridge problem, Eulerian circuit. Introduction A graph G consists of a set V called the set of points (nodes, vertices) of the graph and a set of edges such that each edge e E is associated with ordered or unordered pair of elements of V, i.e.,be an Euler Circuit and there cannot be an Euler Path. It is impossible to cross all bridges exactly once, regardless of starting and ending points. EULER'S THEOREM 1 If a graph has any vertices of odd degree, then it cannot have an Euler Circuit. If a graph is connected and every vertex has even degree, then it has at least one Euler Circuit.this video contains description about euler circuit, euler path , open euler walk, semi euler walk, euler graph in graph theory1. How to check if a directed graph is eulerian? 1) All vertices with nonzero degree belong to a single strongly connected component. 2) In degree is equal to the out degree for every vertex. Source: geeksforgeeks. Question: In the given two conditions, is the first one strict?Here 1->2->4->3->6->8->3->1 is a circuit. Circuit is a closed trail. These can have repeated vertices only. 4. Path – It is a trail in which neither vertices nor edges are repeated i.e. if we traverse a graph such that we do not repeat a vertex and nor we repeat an edge. As path is also a trail, thus it is also an open walk.Euler Path. An Euler path is a path that uses every edge in a graph with no repeats. Being a path, it does not have to return to the starting vertex. Example. In the graph shown below, there are several Euler paths. One such path is CABDCB. The path is shown in arrows to the right, with the order of edges numbered.Eulerian: this circuit consists of a closed path that visits every edge of a graph exactly once; Hamiltonian: this circuit is a closed path that visits every node of a graph exactly once.; The following image exemplifies eulerian and hamiltonian graphs and circuits: We can note that, in the previously presented image, the first graph (with the …Euler Circuit: We discuss the Euler circuit in graph theory. The main characteristics of an Euler circuit can be described using the following points: (1) An Euler circuit initiates and terminates with the same vertex. (2) This circuit is constituted of each edge in the graph. (3) While finding an Euler circuit in a graph, each edge is counted ...So Euler's Formula says that e to the jx equals cosine X plus j times sine x. Sal has a really nice video where he actually proves that this is true. And he does it by taking the MacLaurin series expansions of e, and cosine, and sine and showing that this expression is true by comparing those series expansions.2 Answers. A graph is eulerian iff it has a Eulerian circuit. If you remove an edge, what was once a Eulerian circuit becomes a Eulerian path, so if the graph was connected, it stays connected. An eulerian Graph has a eulerian circuit (for example by Hierholzers algorithm) that visits each vertex twice and doesn't use the same edge twice.Euler Path Examples- Examples of Euler path are as follows- Euler Circuit- Euler circuit is also known as Euler Cycle or Euler Tour.. If there exists a Circuit in the connected graph that contains all the edges of the graph, then that circuit is called as an Euler circuit.; OR. If there exists a walk in the connected graph that starts and ends at the same vertex and …After such analysis of euler path, we shall move to construction of euler trails and circuits. Construction of euler circuits Fleury's Algorithm (for undirected graphs specificaly) This algorithm is used to find the euler circuit/path in a graph. check that the graph has either 0 or 2 odd degree vertices. If there are 0 odd vertices, start ...Eulerian Trails and Circuits is a part of the VCE Further Maths topic Networks and Decision Maths. It is part of the subtopic Exploring and Travelling Problems. A Eulerian Trail is a trail that uses every edge of a graph exactly once and starts and ends at different vertices. A Eulerian Circuit is a circuit that uses every edge of a network ...Find shortest path. Create graph and find the shortest path. On the Help page you will find tutorial video. Select and move objects by mouse or move workspace. Use Ctrl to select several objects. Use context menu for additional actions. Our project is now open source. Ex 2- Paving a Road You might have to redo roads if they get ruined You might have to do roads that dead end You might have to go over roads you already went to get to roads you have not gone over You might have to skip some roads altogether because they might be in use or.It goes through only 1 or two nodes and fails to return true for any case. I want the program to iterator through the node multiple times to get all possible outcome, but still be Eulerian circuit. This is just a small example. To determine if it is Eulerian Circuit, it must pass through the edge only once.Find an Euler circuit of F and use it to guide the stitching of the circuits that were found in Step 1 into an Euler circuit of G. Before proceeding to a detailed description of the algorithm we summarize a solution of [8] for computing an Euler circuit of F. The circuit is computed into a vector FOLLOW.Abstract. Building a structure using self-assembly of DNA molecules by origami folding requires finding a route for the scaffolding strand through the desired structure. When the target structure is a 1-complex (or the geometric realization of a graph), an optimal route corresponds to an Eulerian circuit through the graph with minimum turning ...It goes through only 1 or two nodes and fails to return true for any case. I want the program to iterator through the node multiple times to get all possible outcome, but still be Eulerian circuit. This is just a small example. To determine if it is Eulerian Circuit, it must pass through the edge only once.1. How to check if a directed graph is eulerian? 1) All vertices with nonzero degree belong to a single strongly connected component. 2) In degree is equal to the out degree for every vertex. Source: geeksforgeeks. Question: In the given two conditions, is the first one strict?In this video, we review the terms walk, path, and circuit, then introduce the concepts of Euler Path and Euler Circuit. It is explained how the Konigsberg ...Finding Euler Circuits. Be sure that every vertex in the network has even degree. Begin the Euler circuit at any vertex in …1 Answer. The algorithm you linked is (or is closely related to) Hierholzer's algorithm. While Fleury's algorithm stops to make sure no one is left out of the path (the "making decisions" part that you mentioned), Hierholzer's algorithm zooms around collecting edges until it runs out of options, then goes back and adds missing cycles back into ...Jul 18, 2022 · Eulerization. Eulerization is the process of adding edges to a graph to create an Euler circuit on a graph. To eulerize a graph, edges are duplicated to connect pairs of vertices with odd degree. Connecting two odd degree vertices increases the degree of each, giving them both even degree. When two odd degree vertices are not directly connected ... 1. How to check if a directed graph is eulerian? 1) All vertices with nonzero degree belong to a single strongly connected component. 2) In degree is equal to the out degree for every vertex. Source: geeksforgeeks. Question: In the given two conditions, is the first one strict?Dec 2, 2015 · At that point you know than an Eulerian circuit must exist. To find one, you can use Fleury's algorithm (there are many examples on the web, for instance here). The time complexity of the Fleury's algorithm is O(|E|) where E denotes the set of edges. But you also need to detect bridges when running the algorithm. What are Euler circuits used for? Rather than finding a minimum spanning tree that visits every vertex of a graph, an Euler path or circuit can be used to find a way to visit every edge of a graph once and only once. This would be useful for checking parking meters along the streets of a city, patrolling the streets of a city, or delivering mail.. Hamilton,Euler circuit,path. For which values of mThe breakers in your home stop the electrical Hint: From the adjacency matrix, you can see that the graph is 3 3 -regular. In particular, there are at least 3 3 vertices of odd degree. In order for a graph to contain an Eulerian path or circuit there must be zero or two nodes of odd valence. This graphs has more than two, therefore it cannot contain any Eulerian paths or circuits.Euler Paths and Circuits Theorem : A connected graph G has an Euler circuit each vertex of G has even degree. •Proof : [ The "only if" case ] If the graph has an Euler circuit, then when we walk along the edges according to this circuit, each vertex must be entered and exited the same number of times. The following graph is not Eulerian since four verti Apr 15, 2018 · 1 Answer. You should start by looking at the degrees of the vertices, and that will tell you if you can hope to find: or neither. The idea is that in a directed graph, most of the time, an Eulerian whatever will enter a vertex and leave it the same number of times. So the in-degree and the out-degree must be equal. 2 Answers. A graph is eulerian iff it has a Eulerian circuit. If...

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