On \(Q\)-integral \((3,s)\)-semiregular bipartite graphs (Q2853174)

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scientific article; zbMATH DE number 6217130
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On \(Q\)-integral \((3,s)\)-semiregular bipartite graphs
scientific article; zbMATH DE number 6217130

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    18 October 2013
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    Q-spectra
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    On \(Q\)-integral \((3,s)\)-semiregular bipartite graphs (English)
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    A graph is called \(Q\)-integral if its signless Laplacian spectrum consists entirely of integers. In this note, some general results regarding signless Laplacians of semiregular bipartite graphs are established and those semiregular bipartite graphs with integral signless Laplacian spectrum are considered. In some particular cases, possible \(Q\)-spectra are determined and the corresponding graphs are considered.
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