Abstract
The spectra of the skew-adjacency matrices of a graph are considered as a possible way to distinguish adjacency cospectral graphs. This leads to the following topics: graphs whose skew-adjacency matrices are all cospectral; relations between the matchings polynomial of a graph and the characteristic polynomials of its adjacency and skew-adjacency matrices; skew-spectral radii and an analogue of the Perron–Frobenius theorem; and, the number of skew-adjacency matrices of a graph with distinct spectra.
Original language | English |
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Pages (from-to) | 4512-4529 |
Journal | Linear Algebra and its Applications |
Volume | 436 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2012 |