
Graph terminology: vertex, node, edge, arc
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 …
What is difference between cycle, path and circuit in Graph Theory
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 …
Tour vs Path in graph theory - Mathematics Stack Exchange
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 …
graph theory - Subtree definition - Mathematics Stack Exchange
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 theory - Proving Handshake Theorem. - Mathematics Stack …
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 …
graph theory - Understanding the proof of Euler's formula
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 …
graph theory - Hamiltonian Path Detection - Mathematics Stack …
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 …
Graph Theory Applications? - Mathematics Stack Exchange
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 …
graph theory - Cut vertices and cut edges - did I answer these ...
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 …
Newest 'graph-theory' Questions - Mathematics Stack Exchange
Dec 10, 2025 · 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 …