On Some Properties of Pseudo-Semiregular Graphs

doi:10.12700/aph.13.6.2016.6.3

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2017

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“…The same kind of problem has been addressed by considering the eigenvalues of other matrices, as the Laplacians for the adjacency matrix [5,8] and recently this problem has been addressed to the distance matrix [10]. Also, some applications of this problem has been made in chemistry [11].…”

Section: Introductionmentioning

confidence: 99%

DL -integral and DQ-integral graphs

Junior,

de Freitas,

Del-Vecchio

2017

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For a connected graph G, we denote by D(G) the distance matrix of G and, by T (G), the transmission matrix of G, the diagonal matrix of the row sums of D(G).are called distance Laplacian and distance signless Laplacian of G, respectively. In this work we discuss M -integrality for some special classes of graphs, where M = D L (G) or M = D Q (G). In particular, we consider the complete split graphs, multiple complete split-like graphs, extended complete split-like graphs and multiple extended complete split-like graphs.

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