Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x, and every graph randomly Eulerian from x can be obtained in this way.© BrainMass Inc. brainmass.com March 4, 2021, 8:07 pm ad1c9bdddf
Proof that a graph G obtained by adding a vertex V to a forest F and connecting V with each vertex of odd degree in F is Eulerian and V is a randomly Eulerian vertex in it.
A forest is a disjoint union of trees, and a tree is a a graph in which any two vertices are ...
Forests and Eulerian Graphs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.