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  1. 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 Circuit actually …

  2. 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 distinction …

  3. 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, ∑ u ∈ Vdeg(u) = 2 | E | . At first I thought the theorem is very intuitive so …

  4. Newest 'graph-theory' Questions - Mathematics Stack Exchange

    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.

  5. 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 starting …

  6. 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 disconne...

  7. terminology - In graph theory, what is the difference between a "trail ...

    In graph theory, what is the difference between a "trail" and a "path"? Ask Question Asked 12 years, 2 months ago Modified 3 years, 4 months ago

  8. What's the relation between topology and graph theory

    I read the Wikipedia articles for both topology, graph theory (plus topological graph theory). Does topology encompass also graph theory? Or topology is only about studying shapes while graph theor...

  9. 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 topological: Notion of …

  10. 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 vertices …