Principal minor version of Matrix-Tree theorem for mixed graphs

Guihai Yu, Hui Qu and Matthias Dehmer

Applied Mathematics and Computation, 2017, vol. 309, issue C, 27-30

Abstract: In Yu, et al. (2017), an analytical expression of the determinant of the Hermitian (quasi-)Laplacian matrix of mixed graphs has been proven. In this paper, we are going to extend those results and derive an analytical expression for the principal minors of the Hermitian (quasi-)Laplacian matrix, which is the principal minor version of the Matrix-Tree theorem.

Keywords: Matrix-Tree theorem; Mixed graphs; Hermitian adjacency matrix; Hermitian (quasi-)Laplacian matrix (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:27-30

DOI: 10.1016/j.amc.2017.03.034

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