For the base case you can just say that a tournament with no 3 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 distinction …

Aug 19, 2024 · English is not my mother tongue so I don´t know exactly wich is the difference between a tour and path in the context of graph theory. I think that in both cases it is a way through various …

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 theorem is very …

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 courses? I'm …

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 plotting functions.

1 An edge "e" in a graph (Undirected or directed ) that is associated with the pair of vertices n and q is said to be incident on n and q, and n and q are said to be incident on e and to be adjacent vertices.

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 Circuit actually …

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 disconne...

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 X and Y with …