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  1. discrete mathematics - Clarification on the definition of multigraph ...

    Jul 19, 2017 · A multigraph (in contrast to a simple graph) is a graph which is permitted to have multiple edges (also called parallel edges), that is, edges that have the same end nodes.

  2. discrete mathematics - Directed Multigraph or Directed Simple Graph ...

    Dec 16, 2014 · I have the following two questions in my book: Question # 1 Determine whether the graph shown has directed or undirected edges, whether it has multiple edges, and whether it has …

  3. graph theory - Number of loops in a type of directed multigraph ...

    Jun 18, 2022 · Number of loops in a type of directed multigraph Ask Question Asked 3 years, 9 months ago Modified 3 years, 9 months ago

  4. Existence of a multigraph - Mathematics Stack Exchange

    Oct 18, 2019 · Thank you very much ! But could you explain more about inductive process, please? (For example, inductive hypothesis, etc)

  5. 3-connected multigraph and parallel edge - Mathematics Stack Exchange

    Jul 27, 2018 · I'm having some trouble seeing why one would consider an edge to be separated from the rest of the graph by removing its endpoints if but only if there's another edge in parallel to it. Why …

  6. graph theory - Are there any accounts on "hyper-multigraphs ...

    Sep 5, 2023 · A multigraph is a graph in which multiple or parallel edges between nodes are allowed. These edges have the same end nodes. A hypergraph is a graph in which an edge can join any …

  7. graph theory - Important results about/requiring multigraphs ...

    Nov 24, 2020 · Why are multigraphs important? The wikipedia article on multigraphs mentions several different definitions but does not mention key results about multigraphs. So my question can have …

  8. How to read the mathematical notation for multigraphs?

    Mar 20, 2020 · A multigraph is a pair $ (V,E)$ of disjoint sets (of vertices and edges) together with a map $E →V ∪ [V ]^2$ assigning to every edge either one or two vertices, its ends.

  9. How does an adjacency matrix represent a weighted multigraph?

    Aug 7, 2018 · 6 This is a frivolous, totally impractical answer, but I thought of a way of representing a weighted multigraph in an adjacency matrix, so long as the weights are integers. Let us suppose that …

  10. Graph Theory: edges with and without identity

    Sep 16, 2021 · Wikipedia gives two options for the definition of a multigraph. The first option (used, for example, by Wilson in Introduction to Graph Theory, 5th ed.) is: A multigraph G is an ordered pair G …