Oct 7, 2017 · A connected graph has an Euler circuit if and only if every vertex has even degree. Ask Question Asked 8 years, 2 months ago Modified 8 years, 2 months ago

In this case however, there is a corresponding theorem for digraphs which says that a digraph (possibly with multiple edges and loops) has an Eulerian circuit if and only if every vertex has indegree equal …

Aug 30, 2015 · Defitition of an euler graph "An Euler circuit is a circuit that uses every edge of a graph exactly once. An Euler path starts and ends at different vertices. An Euler circuit starts and ends at …

Jul 20, 2017 · What's the difference between a euler trail, path,circuit,cycle and a regular trail,path,circuit,cycle since edges cannot repeat for all of them anyway? And can vertices be …

Apr 10, 2018 · What if a graph has $0$ vertices of odd degree, which satisfies "at most". Then does the graph have an Eulerian path? I thought that a connected graph with $0$ vertices of odd degree has a …

Oct 26, 2012 · A Euler circuit can exist on a bipartite graph even if m is even and n is odd and m > n. You can draw 2x edges (x>=1) from every vertex on the 'm' side to the 'n' side.

Oct 1, 2020 · 0 As you say, the first graph has an Euler circuit, and the third, fourth, and fifth all have more than two vertices of odd degree, so they have neither an Euler circuit nor an Euler path. The …

4 I know it doesn't have a Hamiltonian circuit because vertices c and f will be traversed twice in order to return to a. Just confirming this. I mainly want to know whether I have the definition of distinct Euler …

Jul 30, 2018 · 2 If we have a Graph with Euler Circuit can we the consider it as a special Euler Path that start and end in the same Node? I am asking because the Condition of Euler Path is that we have 0 …

May 8, 2019 · --- But using Euler circuits, we know that one exists, and as every vertex of our graph is incident to at least one edge, th Euler circuit passes through it. -- Not every Eulerian graph is a cycle …