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Duality and the signed Laplacian matrix of a graph

Article ID Journal Published Year Pages File Type
8897858 Linear Algebra and its Applications 2018 18 Pages PDF
Abstract
We give a necessary and sufficient condition for a bijection between the edge sets of two graphs to be a dual bijection. The condition involves unimodular congruence of augmented signed Laplacian matrices for the two graphs.
Keywords
05C0505C2205C5005C1015B36primarysecondary
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Duality and the signed Laplacian matrix of a graph
Authors
Derek A. Smith, Lorenzo Traldi, William Watkins,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
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05C05
05C22
05C50
05C10
15B36
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