Let G be a connected graph with vertex set V(G) and edge set E(G). Let T(G) be the diagonal matrix of vertex transmissions of G and D(G) be the distance matrix of G. The distance Laplacian matrix of G is defined as L(G)=T(G)−D(G). The distance signless Laplacian matrix of G is defined as Q(G)=T(G)+D(G). In this paper, we show that the complements of path and cycle are determined by their distance (signless) Laplacian spectra.
Applied Mathematics and Computation – Elsevier
Published: Jul 1, 2018
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