A sharp lower bound on the signless Laplacian index of graphs with (κ,τ)-regular sets

A sharp lower bound on the signless Laplacian index of graphs with (κ,τ)-regular sets AbstractA new lower bound on the largest eigenvalue of the signless Laplacian spectra for graphs with at least one (κ,τ)regular set is introduced and applied to the recognition of non-Hamiltonian graphs or graphs without a perfect matching. Furthermore, computational experiments revealed that the introduced lower bound is better than the known ones. The paper also gives sufficient condition for a graph to be non Hamiltonian (or without a perfect matching). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Special Matrices de Gruyter

A sharp lower bound on the signless Laplacian index of graphs with (κ,τ)-regular sets

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Publisher
de Gruyter
Copyright
© 2018, published by De Gruyter
eISSN
2300-7451
D.O.I.
10.1515/spma-2018-0007
Publisher site
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Abstract

AbstractA new lower bound on the largest eigenvalue of the signless Laplacian spectra for graphs with at least one (κ,τ)regular set is introduced and applied to the recognition of non-Hamiltonian graphs or graphs without a perfect matching. Furthermore, computational experiments revealed that the introduced lower bound is better than the known ones. The paper also gives sufficient condition for a graph to be non Hamiltonian (or without a perfect matching).

Journal

Special Matricesde Gruyter

Published: Mar 2, 2018

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