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, $$\sum_ {u\in V}\deg (u) = 2|E|\ .$$ At first I thought the theorem is very …

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 …

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...

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 …

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.

Dec 17, 2020 · In graph theory, for a connected, undirected finite graph one can easily find a set of fundamental cycles - I understand that part. This forms a basis of some linear space of all cycles of …

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 …

It is the same difference between the notion of minimal elements and minimum in a set provided by an order relation, in your case the set is the set of edge cuts and the relation in the insiemistic inclusion. …