Undirected graph definition - Math Insight
An undirected graph is graph, i.e., a set of objects (called vertices or nodes) that are connected together, where all the edges are bidirectional.
What is the definition of the density of a graph?
What about multigraphs? What would be the formula for the density of, respectively, an undirected and directed multigraph which has multiple edges and possibly loops? Thank you for the attention.
terminology - what is the total degree of a graph or should I call it ...
Nov 22, 2024 · 2 I have been studying the topic of graph theory for several years, and I have a question about the degree of a graph. From what I understand, a vertex in an undirected or directed graph can …
Terminology: what is the undirected graph underlying a directed graph ...
Apr 7, 2022 · For example, Wikipedia says: A directed graph is weakly connected (or just connected [10]) if the undirected underlying graph obtained by replacing all directed edges of the graph with …
Can we have undirected edges and directed edges in a graph
Oct 31, 2023 · A chain graph may be transformed into an undirected graph by constructing its moral graph, an undirected graph formed from the chain graph by adding undirected edges between pairs …
Confusion about the definition of an acyclic graph
Dec 23, 2019 · Associated with every digraph is its underlying graph which is an undirected graph with the same vertex and edge set but "ignoring" the direction. So when we say that a directed graph is or …
Longest path in undirected graph - Mathematics Stack Exchange
Nov 17, 2015 · If there are no cycles in your graph, you can put -1 weights on each edge and search for the shortest path with the Bellman-Ford algorithm. If there are cycles, your problem is NP-hard …
Proving that the number of vertices of odd degree in any graph G is ...
Jan 23, 2015 · The sum of degrees of any graph can be worked out by adding the degree of each vertex in the graph. The sum of degrees is twice the number of edges. Therefore, the sum of degrees is …
Acyclic Undirected Graph - Mathematics Stack Exchange
Apr 29, 2015 · HINT: Trees are simply the connected acyclic undirected graphs. Thus, every component of an acyclic undirected graph is a tree. (Indeed, another name for acyclic undirected graphs is …
Laplace matrix for undirected graph - Mathematics Stack Exchange
Oct 12, 2023 · My point is how to calculate the Laplacian matrix for an undirected graph by using the incidence matrix. What is the incidence matrix for an undirected graph anyway?