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  1. Tour vs Path in graph theory - Mathematics Stack Exchange

    Aug 22, 2017 · 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 …

  2. Graph terminology: vertex, node, edge, arc

    Apr 5, 2011 · We often use the same names for corresponding concepts in the graph and digraph models. Many authors replace "vertex" and "edge" with "node" and "arc" to discuss digraphs, …

  3. graph theory - Difference between a tree and spanning tree ...

    Feb 29, 2024 · In graph theory, a tree is an undirected graph that is connected and acyclic, meaning there are no cycles (closed loops) in the graph. A tree with n vertices will have …

  4. 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 …

  5. 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 …

  6. reference request - What are good books to learn graph theory ...

    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 …

  7. 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 …

  8. graph theory - Meanings of expansion and expander?

    A disconnected graph is not an expander, since the boundary of a connected component is empty. Every connected graph is an expander; however, different connected graphs have …

  9. induction proof over graphs - Mathematics Stack Exchange

    Typically, especially from my experience with graph theory, you start with the graph whose property you're trying to prove, then remove a vertex or some structure to produce a smaller …

  10. 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 …