In this paper we characterize all bipartite graphs with at most six non-zero eigenvalues. We determine the eigenvalues of bipartite graphs that have at most ...
The rank of a graph G is defined to be the rank of its adjacency matrix A(G). In this paper we characterize all connected triangle-free graphs with rank 6.
Bipartite graphs with at most six non-zero eigenvalues.
Abstract: In this paper we characterize all bipartite graphs with at most six non-zero eigenvalues. We determine the eigenvalues of bipartite graphs that ...
Bipartite graphs with at most six non-zero eigenvalues - Geodesic
geodesic-test.mathdoc.fr › articles
In this paper we characterize all bipartite graphs with at most six non-zero eigenvalues. We determine the eigenvalues of bipartite graphs that have at most ...
People also ask
What are the eigenvalues of a complete bipartite graph?
Is C6 and K3 a bipartite graph or not?
How to show that a graph that has 17 vertices and 73 edges cannot be bipartite?
How to tell if a graph is bipartite?
Oct 27, 2012 · Let X be a connected graph with maximum eigenvalue k. Assume that −k is also an eigenvalue. I wish to prove that X is bipartite.
Bipartite graphs with all but two eigenvalues equal to 0 and ±1
www.sciencedirect.com › article › pii
In this paper we study the class G of all connected bipartite graphs whose adjacency spectrum, apart from the maximum and the minimum eigenvalue, just contains ...
Abstract. Graphs with a few distinct eigenvalues usually possess an interesting combinato- rial structure. We show that regular, bipartite graphs with at ...
Sep 23, 2019 · In particular, we show that the spectrum of the adjacency matrix tells us whether the graph is bipartite or not. Lemma 6 If G is bipartite, and ...
Missing: most six non- zero
So an invertible bipartite graph always has a perfect matching. If the determinant of an adjacency matrix A of a graph G is not zero, then G has an inverse.