Signed distance Laplacian matrices for signed graphs

DOI10.1080/03081087.2022.2158165zbMath1530.05076arXiv2010.04204OpenAlexW3092419419MaRDI QIDQ6177672

Roshni T. Roy, K. A. Germina, Thomas Zaslavsky, Unnamed Author

Publication date: 17 January 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04204

zbMATH Keywords

signed graphsigned distance matrixsigned distance Laplacian matrixsigned distance Laplacian spectrum

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Signed and weighted graphs (05C22)

Cites Work

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• Two Laplacians for the distance matrix of a graph
• On the distance Laplacian spectra of graphs
• Biased graphs. I: Bias, balance, and gains
• Signed graphs
• On distance matrices and Laplacians
• Signed distance in signed graphs
• A Combinatorial Proof of the All Minors Matrix Tree Theorem

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