
discrete mathematics - Directed Multigraph or Directed Simple …
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 …
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.
elementary set theory - What is the edge set of a multigraph ...
Jan 2, 2015 · 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 …
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)
Diestel multigraph separation - Mathematics Stack Exchange
Sep 10, 2023 · 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 …
Graph Theory: edges with and without identity
Sep 16, 2021 · 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 …
Graphs connected, loops-free, and Multigraphs traversable
May 19, 2020 · 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 …
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 …
Difference between graph and multigraph - Mathematics Stack …
Difference between graph and multigraph Ask Question Asked 13 years, 4 months ago Modified 6 years, 2 months ago
What is the category of mixed multigraphs? - Mathematics Stack …
Dec 23, 2024 · 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 …