Graph Theory: edges with and without identity Wikipedia gives two options for the definition of a multigraph The first option (used, for example, by Wilson in Introduction to Graph Theory, 5th ed ) is: 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
Graphs connected, loops-free, and Multigraphs traversable 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 Which of the multigraphs is traversable? The multigraph that are traversable are the 1st, 3rd and 4th
3-connected multigraph and parallel edge - Mathematics Stack Exchange 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 3 -connected multigraph is in fact a graph
Check if graph is multigraph given degree sequence I am given some degree sequences of graphs, and my question is what is the method to determine which of them are sequences corresponding to multigraphs 1,2,2,3 0,1,2,3 2,2,2,2
How to read the mathematical notation for multigraphs? A multigraph is a pair (V, E) (V, E) of disjoint sets (of vertices and edges) together with a map E → V ∪ [V]2 E → V ∪ [V] 2 assigning to every edge either one or two vertices, its ends
graph theory - Are there any accounts on hyper-multigraphs . . . 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 number of vertices An edge can therefore connect sets of multiple nodes to one another