On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph

Ji-Ming Guo; Jianxi Li; Wai Chee Shiu

Czechoslovak Mathematical Journal (2013)

  • Volume: 63, Issue: 3, page 701-720
  • ISSN: 0011-4642

Abstract

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The Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph are the characteristic polynomials of its Laplacian matrix, signless Laplacian matrix and normalized Laplacian matrix, respectively. In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph which can be used to construct larger Laplacian, signless Laplacian and normalized Laplacian cospectral graphs, respectively.

How to cite

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Guo, Ji-Ming, Li, Jianxi, and Shiu, Wai Chee. "On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph." Czechoslovak Mathematical Journal 63.3 (2013): 701-720. <http://eudml.org/doc/260668>.

@article{Guo2013,
abstract = {The Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph are the characteristic polynomials of its Laplacian matrix, signless Laplacian matrix and normalized Laplacian matrix, respectively. In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph which can be used to construct larger Laplacian, signless Laplacian and normalized Laplacian cospectral graphs, respectively.},
author = {Guo, Ji-Ming, Li, Jianxi, Shiu, Wai Chee},
journal = {Czechoslovak Mathematical Journal},
keywords = {Laplacian matrix; signless Laplacian matrix; normalized Laplacian matrix; characteristic polynomial; Laplacian matrix; signless Laplacian matrix; normalized Laplacian matrix; characteristic polynomial},
language = {eng},
number = {3},
pages = {701-720},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph},
url = {http://eudml.org/doc/260668},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Guo, Ji-Ming
AU - Li, Jianxi
AU - Shiu, Wai Chee
TI - On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph
JO - Czechoslovak Mathematical Journal
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 3
SP - 701
EP - 720
AB - The Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph are the characteristic polynomials of its Laplacian matrix, signless Laplacian matrix and normalized Laplacian matrix, respectively. In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph which can be used to construct larger Laplacian, signless Laplacian and normalized Laplacian cospectral graphs, respectively.
LA - eng
KW - Laplacian matrix; signless Laplacian matrix; normalized Laplacian matrix; characteristic polynomial; Laplacian matrix; signless Laplacian matrix; normalized Laplacian matrix; characteristic polynomial
UR - http://eudml.org/doc/260668
ER -

References

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