Feb 22, 2016 · Eulerian Circuit: Visits each edge exactly once. Starts and ends on same vertex. Is it possible a graph has a hamiltonian circuit but not an eulerian circuit? Here is my attempt based on …

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

Nov 6, 2014 · i need to give an example of a connected graph with at least 5 vertices that has as an Eulerian circuit, but no Hamiltonian cycle?

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 …

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.

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 …

How do we find Euler path for directed graphs? I don't seem to get the algorithm below! Algorithm To find the Euclidean cycle in a digraph (enumerate the edges in the cycle), using a greedy proc...

Aug 23, 2021 · Whether this means Euler circuit and Euler path are mutually exclusive or not depends on your definition of "Euler path". Some people say that an Euler path must start and end on different …

Oct 8, 2023 · Every hyper cube of dimension N, where N is an even positive integer, has Euler circuits. The question is, for the case of the hypercubes of odd dimension, do there exist "double Euler …

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 …