Name
Abstract | ||
|---|---|---|
An oriented graph G(sigma) is a simple undirected graph G with an orientation sigma, which assigns to each edge of G a direction so that G(sigma) becomes a directed graph. G is called the underlying graph of G(sigma) and we denote by S (G(sigma)) the skew-adjacency matrix of G(sigma) and its spectrum Sp(G(sigma)) is called the skew-spectrum of G(sigma). In this paper, the skew spectra of two orientations of the Cartesian product of two graphs are discussed. As applications, new families of oriented bipartite graphs G(sigma) with Sp(G(sigma)) - iSp(G) are given and the orientation of a product graph with maximum skew energy is obtained. |
Year | DOI | Venue |
|---|---|---|
2013 | null | ELECTRONIC JOURNAL OF COMBINATORICS |
Keywords | Field | DocType |
Oriented graphs,Spectra,Skew spectra,Skew energy,Pfaffian orientation | Discrete mathematics,Graph,Combinatorics,Matrix (mathematics),Cartesian product,Bipartite graph,Directed graph,Spectral line,Skew,Sigma,Mathematics | Journal |
Volume | Issue | ISSN |
20.0 | 2.0 | 1077-8926 |
Citations | PageRank | References |
4 | 1.07 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Denglan Cui | 1 | 4 | 1.07 |
| Yaoping Hou | 2 | 37 | 11.29 |