Aug 31, 2020 · For the base case you can just say that a tournament with no $3$-cycles is transitive, therefore not strongly connected.

Apr 5, 2011 · The distinction between vertex and node seems to me to be mostly about discipline (e.g. whether you come from combinatorics or computer science) and is irrelevant. The …

May 6, 2014 · 141 What are some of the best books on graph theory, particularly directed towards an upper division undergraduate student who has taken most the standard undergraduate …

Are there any special things to check to determine if a graph does not have a Hamiltonian Path. I know for a Euler Path you can check to see if there are any odd degrees or if the graph is …

Jan 29, 2014 · I am currently studying Graph Theory and want to know the difference in between Path , Cycle and Circuit. I know the difference between Path and the cycle but What is the …

3 I am currently learning Graph Theory and I've decided to prove the Handshake Theorem which states that for all undirected graph, $$\sum_ {u\in V}\deg (u) = 2|E|\ .$$ At first I thought the …

5 days ago · Use this tag for questions in graph theory. Here a graph is a collection of vertices and connecting edges. Use (graphing-functions) instead if your question is about graphing or …

Sep 6, 2018 · The question is that: show that each even graph can be decomposed into edge-disjoint cycles. What I think is: when drawing such graphs (randomly), I can produce two sets …

A disconnected graph is not an expander, since the boundary of a connected component is empty. Every connected graph is an expander; however, different connected graphs have …

To appreciate the difference, consider a graph that is the disjoint union of a 3-clique and two 4-cliques (so the graph has three components). Both of the 4-cliques are maximum -sized …