
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. Thus …
graph theory - 3-connected multigraph and parallel edge
2018年7月27日 · 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 …
How does an adjacency matrix represent a weighted multigraph?
2018年8月7日 · 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 …
discrete mathematics - Directed Multigraph or Directed Simple …
2014年12月16日 · 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 …
Graphs connected, loops-free, and Multigraphs traversable
2020年5月19日 · 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 …
Existence of a multigraph - Mathematics Stack Exchange
2016年10月24日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
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 …
Graph Theory: edges with and without identity
2021年9月16日 · A multigraph G is an ordered pair G := (V, E) with. V a set of vertices or nodes, E a multiset of unordered pairs of vertices, called edges or lines. The second option (used, for …
graph theory - Degree sequence multigraph without loop
Degree sequence multigraph without loop. Ask Question Asked 6 years, 10 months ago.
Diestel multigraph separation - Mathematics Stack Exchange
2023年9月10日 · The vertex v of a loop e, there- fore, is a cutvertex unless ({v}, {e}) is a component of G, and ({v}, {e}) is a ‘block’ in the sense of Chapter 3.1. Thus, a multigraph with …