A note on graphs with two main eigenvalues
Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Kragujevac J. Math. 24 (2002) 43-53.
A NOTE ON GRAPHS WITH TWO MAIN
EIGENVALUESMirko LepovicDepartment of Mathematics, Faculty of Science, University of
Kragujevac,34000 Kragujevac, Yugoslavia
(Received February 25, 2002)
Abstract. Let G be a simple connected or
disconnected graph which has exactly two main eigenvalues. Let
Gk = G \ k be the corresponding vertex deleted
subgraph of G. If Gi and Gj are cospectral in this paper
we prove that their complementary graphs Gi
and
Gj are also cospectral.
@article{KJM_2002_24_1_a3,
author = {Mirko Lepovi\'c},
title = {A note on graphs with two main eigenvalues},
journal = {Kragujevac Journal of Mathematics},
pages = {43 - 53},
year = {2002},
volume = {24},
number = {1},
zbl = {1027.05062},
url = {http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a3/}
}
Mirko Lepović. A note on graphs with two main eigenvalues. Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1. http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a3/