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.

Oct 24, 2016 · An alternative construction (that doesn't use induction): First observe that if d1 =∑n i=2di d 1 = ∑ i = 2 n d i, we can form a multigraph with degree sequence d1, …,dn d 1,, d n by simply …

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 …

Jun 18, 2022 · Number of loops in a type of directed multigraph Ask Question Asked 3 years, 7 months ago Modified 3 years, 7 months ago

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 …

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 …

Jul 27, 2018 · The ends of loops and parallel edges in a multigraph G G are considered as separating that edge from the rest of G G. [...] Thus, a multigraph with a loop is never 2 2 -connected, and any 3 …

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 from the rest of …

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 multigraphs. 2. …

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 option (used, for …