1. On the Characteristic Polynomial of Skew Gain Graphs.
- Author
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Hameed, K. S., Roy, Roshni T., Soorya, P., and Germina, K. A.
- Subjects
- *
POLYNOMIALS , *EIGENVALUES , *MATRICES (Mathematics) - Abstract
Gain graphs are graphs where the edges are given some orientation and labeled with the elements (called gains) from a group so that the gains are inverted when we reverse the direction of the edges. Generalizing the notion of gain graphs, skew gain graphs have the property that the gain of a reversed edge is the image of edge gain under an anti-involution. In this paper, we deal with the adjacency matrix of skew gain graphs with an involutive automorphism on a field of characteristic zero and their characteristic polynomials. Spectra of some particular skew gain graphs are also discussed. [ABSTRACT FROM AUTHOR]
- Published
- 2023