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An Odd Characterization of the Generalized Odd Graphs [PDF]

2010 Mathematics Subject Classification: 05E30, 05C50;distance-regular graphs;generalized odd graphs;odd-girth;spectra of graphs;spectral excess theorem;spectral ...
Dam, E.R. van, Haemers, W.H.
core  

Spectral Characterization of the Hamming Graphs [PDF]

We show that the Hamming graph H(3; q) with diameter three is uniquely determined by its spectrum for q ¸ 36. Moreover, we show that for given integer D ¸ 2, any graph cospectral with the Hamming graph H(D; q) is locally the disjoint union of D copies of
Koolen, J.H., Bang, S., Dam, E.R. van
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Complementary Laplacian Equienergetic Threshold graphs

The study of graph energies, initiated by Gutman [1], has become a central topic in spectralgraph theory with numerous applications in chemistry and related areas.
Adeoye, Adesoji Joseph, Tura, Fernando Colman   +1 more
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Constructing pairs of Laplacian equienergetic threshold graphs

Matemática Contemporânea, 2015
Renata Del-Vecchio, Guilherme Pereira, Cybele Vinagre   +2 more
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Complementary Signless Laplacian Equienergetic Graphs

Graph energy is a classical spectral invariant, and the study of Laplacian-type energies extends thisidea from adjacency spectra to degree-sensitive matrix spectra. In particular, the signless Laplacianmatrix Q(G) = D(G)+A(G) is useful for studying structural properties that are not captured bythe adjacency spectrum alone. The signless Laplacian energy
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The search of graphs equienergetic with edge deleted subgraph

, 2019
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Towards a definition of almost–equienergetic graphs

Journal of Mathematical Chemistry, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Gutman, Marija Stanic
exaly   +6 more sources

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Evolutionary Algorithms for Searching Almost-Equienergetic Graphs

2021 IEEE Congress on Evolutionary Computation (CEC), 2021
Many real-world problems can be modeled using graphs. This representation allows us to understand some important aspects of problem behavior through the calculation of different measures.
Héctor-Gabriel Acosta-Mesa, Efrén Mezura-Montes   +1 more
exaly   +4 more sources

On families of graphs which are both adjacency equienergetic and distance equienergetic

Indian Journal of Pure and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shariefuddin Pirzada, Parvathalu B., Harishchandra Ramane   +2 more
exaly   +4 more sources

Constructing pairs of equienergetic and non-cospectral graphs [PDF]

Applied Mathematics Letters, 2008
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Nair Maria Maia de Abreu, Cybele Vinagre
exaly   +5 more sources