Explore BrainMass

Explore BrainMass

    Graphs and Digraphs : Edge-Connectivity

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    If G is a graph of order n>=2 such that for all distinct nonadjacent vertices u and v,

    then the edge-connectivity k1(G)=Deta(G), where Deta(G) is the least degree of G.

    © BrainMass Inc. brainmass.com November 24, 2022, 11:36 am ad1c9bdddf

    Solution Preview

    Proof. We use a theorem in the book: Graphs and Digraphs--G.Chartrand and L.Lesniak.

    Theorem: If G is a ...

    Solution Summary

    The expert provides graphs and digraphs for distinct nonadjacent vertices. An edge-connectivity proof is provided.