Graph Zn and some graphs related to Zn are determined by their spectrum
X Shen, Y Hou, Y Zhang - Linear Algebra and its Applications, 2005 - Elsevier
X Shen, Y Hou, Y Zhang
Linear Algebra and its Applications, 2005•ElsevierIt is proved that graph Zn is determined by its adjacency spectrum as well as its Laplacian
spectrum;[Formula: see text] is determined by its adjacency spectrum, where n1, n2,…, nk
are integers at least 2; Wn is not determined by its adjacency spectrum but is determined by
its Laplacian spectrum; kZn, Tn are determined by their Laplacian spectrum, respectively,
where k is a positive integer.
spectrum;[Formula: see text] is determined by its adjacency spectrum, where n1, n2,…, nk
are integers at least 2; Wn is not determined by its adjacency spectrum but is determined by
its Laplacian spectrum; kZn, Tn are determined by their Laplacian spectrum, respectively,
where k is a positive integer.
It is proved that graph Zn is determined by its adjacency spectrum as well as its Laplacian spectrum; [Formula: see text] is determined by its adjacency spectrum, where n1,n2,…,nk are integers at least 2; Wn is not determined by its adjacency spectrum but is determined by its Laplacian spectrum; kZn, Tn are determined by their Laplacian spectrum, respectively, where k is a positive integer.
Elsevier
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