How to identify bipartite graph from Adjacency matrix?
Dec 8, 2017 · If the matrix is now in the canonical form of a bipartite adjacency matrix (where the upper-left and lower-right blocks are all zero), the graph is bipartite; quit and return BIPARTITE. Otherwise, …
graph theory - Node ordering permutation based adjacency matrix ...
Sep 9, 2018 · I was reading a research paper where I came across this definition of an adjacency matrix based on a node ordering function. I am a beginner in graph theory hence was not able to …
Finding path-lengths by the power of Adjacency matrix of an …
Aug 13, 2016 · Finding path-lengths by the power of Adjacency matrix of an undirected graph Ask Question Asked 9 years, 4 months ago Modified 4 years ago
Characteristic polynomials of graphs - Mathematics Stack Exchange
Feb 22, 2025 · 2 I have $2$ questions about how to find the characteristic polynomial of some graphs. If $G$ is a simple cycle with $n$ vertices and $n$ edges, $C_n$, I need to find the characteristic …
Example for adjacency matrix of a bipartite graph
Jan 24, 2016 · Can someone explain to me with an example how to create the adjacency matrix of a bipartite graph? And why the diagonal elements of it are not zero? Thanks.
linear algebra - Meaning of eigenvalues of an adjacency matrix ...
Mar 10, 2022 · I know the eigen vector of a matrix transformation is the vector that turns it into a scalar transformation. But in the context of a adjacency matrix and in a graph, what does the eigen vector …
Number of $k$-cycles from an adjacency matrix of a graph
Dec 19, 2021 · Let $G (V,E)$ be a finite undirected graph with an adjacency matrix $A$. As far as I know, it holds that that $A^k_ {ii}$ gives us the number of walks starting and ending at vertex $i$ and …
Easiest way to determine all disconnected sets from a graph?
4 Say you have an adjacency matrix like the one in your question. You can determine connected components by doing a breadth-first (or depth-first) search in the matrix without having to remake …
linear algebra - Spectrum of the n-cycle graph $C_n$, $n\ge3 ...
May 2, 2020 · @ChrisGodsil No, because one of the answer was considering the adjacency matrix as a circulant matrix. But as I asked, I'm looking for another way. And in another answer, do you know …
linear algebra - Checking connectivity of adjacency matrix ...
Apr 28, 2017 · What do you think is the most efficient algorithm for checking whether a graph represented by an adjacency matrix is connected? In my case I'm also given the weights of each …