On two Laplacian matrices for skew gain graphs

DOI10.5614/ejgta.2021.9.1.12zbMath1468.05164arXiv2009.10487OpenAlexW3157140349MaRDI QIDQ4958053

K. A. Germina, Roshni T. Roy, Shahul Hameed K.

Publication date: 6 September 2021

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10487

zbMATH Keywords

incidence matrixadjacency matrixLaplacian matrixgraph eigenvalueskew gain graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22) Graph operations (line graphs, products, etc.) (05C76)

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Cites Work

• Balance in gain graphs - a spectral analysis
• Biased graphs. I: Bias, balance, and gains
• Signed graphs
• Laplacian matrices of graphs: A survey
• The size of switching classes with skew gains
• A Combinatorial Proof of the All Minors Matrix Tree Theorem
• On energy, Laplacian energy and p-fold graphs
• Weighted graphs: Eigenvalues and chromatic number
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