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  1. discrete mathematics - Directed Multigraph or Directed Simple …

    2014年12月16日 · 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 …

  2. discrete mathematics - Clarification on the definition of multigraph …

    2017年7月19日 · 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.

  3. Diestel multigraph separation - Mathematics Stack Exchange

    2023年9月10日 · Hi am reading Diestel graph theory. In the 5th edition, in Chapter 1.10, it says: The ends of loops and parallel edges in a multigraph G are considered as separating that edge …

  4. elementary set theory - What is the edge set of a multigraph ...

    2015年1月2日 · is a multigraph. All graphs have edge sets, yet the edge set of the multigraph would have to contain duplicate sets in its edge set to properly represent its edges, but then it …

  5. Graph Theory: edges with and without identity

    2021年9月16日 · I'm a complete beginner in Graph Theory so apologies for the vague and basic nature of the question! Wikipedia gives two options for the definition of a multigraph. The first …

  6. Existence of a multigraph - Mathematics Stack Exchange

    2019年10月18日 · Thank you very much ! But could you explain more about inductive process, please? (For example, inductive hypothesis, etc)

  7. Graphs connected, loops-free, and Multigraphs traversable

    2020年5月19日 · For the same reason and discarding the 4th. Let me know if I'm wrong. b. Free of Loops: 1st, 2nd, 3rd c. Graphs: 1st, 2nd I'm discarding the 3rd and the 4th because they are …

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

    2020年11月24日 · Why are multigraphs important? The wikipedia article on multigraphs mentions several different definitions but does not mention key results about multigraphs. So my …

  9. What is the category of mixed multigraphs? - Mathematics Stack …

    2024年12月23日 · More explicitly: Objects: A mixed multigraph should consist of: A set of vertices (V). A set of edges (E), each of which is either: Undirected: connecting two (not necessarily …

  10. 3-connected multigraph and parallel edge - Mathematics Stack …

    2018年7月27日 · 3-connected multigraph and parallel edge Ask Question Asked 7 years, 3 months ago Modified 7 years, 2 months ago