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 …

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 …

3 I am currently learning Graph Theory and I've decided to prove the Handshake Theorem which states that for all undirected graph, ∑ u ∈ Vdeg(u) = 2 | E | . At first I thought the theorem is very intuitive so …

Nov 2, 2021 · The definition of subtree of a tree is a tree that descends from a node of the starting tree. My question is if we can consider the "cross tree" below and say that the graph starting …

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.

A subtle point about Euler's theorem that often gets brushed under the rug is that it fundamentally is not just about graph theory; it's also about topology, because the notion of faces is topological: Notion of …

3 Graph theory is rapidly moving into the mainstream of mathematics mainly because of its applications in diverse fields which include biochemistry (genomics), electrical engineering (communications …

Apr 17, 2014 · The red subgraph of the fourth graph is a maximal clique because it is a clique, and neither of the vertices not included in the subgraph send an edge to every vertex in the subgraph. …

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 …

A cut vertex is a vertex that when removed (with its boundary edges) from a graph creates more components than previously in the graph. A cut edge is an edge that when removed (the vertices …