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arXiv · 1910.12218

A Novel Method to Construct NSSD Molecular Graphs

Umar Hayat·Mubasher Umer·Ivan Gutman·Bijan Davvaz·Álvaro Nolla de Celis
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Abstract

A graph is said to be NSSD (= non-singular with a singular deck) if it has no eigenvalue equal to zero, whereas all its vertex-deleted subgraphs have eigenvalues equal to zero. NSSD graphs are of importance in the theory of conductance of organic compounds. In this paper, a novel method is described for constructing NSSD molecular graphs from the commuting graphs of the $H_v$-group. An algorithm is presented to construct the NSSD graphs from these commuting graphs.

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Umar Hayat, Mubasher Umer, Ivan Gutman, Bijan Davvaz, Álvaro Nolla de Celis. 2019-10-27. A Novel Method to Construct NSSD Molecular Graphs. https://arxiv.org/abs/1910.12218

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