Graphs that are cospectral for the distance Laplacian
نویسندگان
چکیده
منابع مشابه
Constructing cospectral graphs for the normalized Laplacian
We give a method to construct cospectral graphs for the normalized Laplacian by swapping edges between vertices in some special graphs. We also give a method to construct an arbitrarily large family of (non-bipartite) graphs which are mutually cospectral for the normalized Laplacian matrix of a graph. AMS 2010 subject classification: 05C50
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We construct two infinite families of trees that are pairwise cospectral with respect to the normalized Laplacian. We also use the normalized Laplacian applied to weighed graphs to give new constructions of cospectral pairs of bipartite unweighted graphs.
متن کاملA Construction of Cospectral Graphs for the Normalized Laplacian
We give a method to construct cospectral graphs for the normalized Laplacian by a local modification in some graphs with special structure. Namely, under some simple assumptions, we can replace a small bipartite graph with a cospectral mate without changing the spectrum of the entire graph. We also consider a related result for swapping out biregular bipartite graphs for the matrix A + tD. We p...
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In this note we show how to construct two distinct bipartite graphs which are cospectral for both the adjacency and normalized Laplacian matrices by “unfolding” a base bipartite graph in two different ways.
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2020
ISSN: 1081-3810
DOI: 10.13001/ela.2020.4941