### Abstract

Original language | English |
---|---|

Pages (from-to) | 4512-4529 |

Journal | Linear Algebra and its Applications |

Volume | 436 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2012 |

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### Cite this

*Linear Algebra and its Applications*,

*436*(12), 4512-4529. https://doi.org/10.1016/j.laa.2012.01.019

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*Linear Algebra and its Applications*, vol. 436, no. 12, pp. 4512-4529. https://doi.org/10.1016/j.laa.2012.01.019

**Skew-adjacency matrices of graphs.** / Cavers, M.; Cioaba, S.M.; Fallat, S.; Gregory, D.A.; Haemers, W.H.; Kirkland, S.J.; McDonald, J.J.; Tsatsomeros, M.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Skew-adjacency matrices of graphs

AU - Cavers, M.

AU - Cioaba, S.M.

AU - Fallat, S.

AU - Gregory, D.A.

AU - Haemers, W.H.

AU - Kirkland, S.J.

AU - McDonald, J.J.

AU - Tsatsomeros, M.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1016/j.laa.2012.01.019

DO - 10.1016/j.laa.2012.01.019

M3 - Article

VL - 436

SP - 4512

EP - 4529

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

IS - 12

ER -