
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. Thus …
graph theory - 3-connected multigraph and parallel edge
Jul 27, 2018 · Immediately before the sentence that you quote, in that same footnote, he suggests to “See Chapter $1.10$ for the formal definition of suppressing vertices in a multigraph”. …
Difference between graph and multigraph - Mathematics Stack …
$\begingroup$ I'm not clear as to why a multigraph with these properties does not exist. As you can have multiple edges between a pair of vertices, pick two, put seven edges between them …
discrete mathematics - Directed Multigraph or Directed Simple …
Dec 16, 2014 · Read a bit more carefully the definition that your book gives: "A directed graph may have multiple directed edges from a vertex to a second (possibly the same) vertex are …
How does an adjacency matrix represent a weighted multigraph?
Aug 7, 2018 · 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 …
Existence of a multigraph - Mathematics Stack Exchange
Oct 24, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
graph theory - Degree sequence multigraph without loop
Degree sequence multigraph without loop. Ask Question Asked 6 years, 11 months ago.
Graphs connected, loops-free, and Multigraphs traversable
May 19, 2020 · Note that for question 1c we would rather say simple graph by opposition to multigraph. Indeed a multigraph is still a sort of graph. I cannot say for sure for 2 as it lacks the …
graph theory - Bridge in a multigraph - Mathematics Stack Exchange
According to Wikipedia: [...] a bridge in an undirected graph is an edge whose deletion increases the number of connected components.
graph theory - Important results about/requiring multigraphs ...
Nov 24, 2020 · The fact that this result works for multigraphs has fun applications for simple graphs as well. For example, we can decide whether a graph contains three spanning trees …