Advances and Applications in Discrete Mathematics
Volume 17, Issue 3, Pages 305 - 321
(July 2016) http://dx.doi.org/10.17654/AADMJul2016_305_321 |
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DISTANCE SPECTRA OF H-JOIN GRAPHS
M. Pokorný and P. HÃc
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Abstract: A distance spectrum of a graph is a set of eigenvalues of its distance matrix. A distance energy, which is a useful molecular descriptor in QSPR modelling, is the sum of absolute values of distance eigenvalues. In the paper, we consider H-join on graphs, where His an arbitrary graph. In terms of distance matrix, we determine the D-spectra of graphs obtained by this operation on distance regular graphs of diameter at most 2. Some additional consequences on D-spectral radius, D-integral graphs, D-cospectral graphs, D-equienergetic graphs, etc. are also obtained. |
Keywords and phrases: distance spectrum, distance energy, H-join of graphs, distance regular graph, distance integral graph, equienergetic graphs. |
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