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Characteristic polynomial and eigenvalues of anti-adjacency matrix of directed unicyclic corona graph
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Characteristic polynomial and eigenvalues of anti-adjacency matrix of directed unicyclic corona graph
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Journal Article
Characteristic polynomial and eigenvalues of anti-adjacency matrix of directed unicyclic corona graph
2021
Overview
A directed graph can be represented by several matrix representations, such as the anti-adjacency matrix. This paper discusses the general form of characteristic polynomial and eigenvaluesof the anti-adjacencymatrix of directed unicyclic corona graph. The characteristic polynomial of the anti-adjacency matrix can be found by counting the sum of the determinant of the anti-adjacency matrix of the directed cyclic inducedsubgraphs and the directed acyclic induced subgraphs from the graph. The eigenvalues of the anti-adjacency matrix can be real or complex numbers. We prove that the coefficient of the characteristic polynomial and the eigenvalues of the anti-adjacency matrix of directed unicyclic corona graph can be expressed in the function form that depends on the number of subgraphs contained in thedirected unicyclic corona graphs.
Publisher
IOP Publishing
Subject
