On Some Graphic Polynomials Whose Zeros are Real
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 29
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Polynomials which are formed by linear combination of the
characteristic polynomial of a graph $\,G\,$ and the characteristic
polynomials of the vertex-deleted subgraphs of $\,G\,$ have real zeros.
The same is true for the linear combination of the matching polynomial
of $\,G\,$ and the matching polynomials of the vertex-deleted subgraphs
of $\,G\,$. Several statements about the location of the zeros of these
polynomials are obtained.
Classification :
05C55
@article{PIM_1985_N_S_37_51_a5,
author = {Ivan Gutman},
title = {On {Some} {Graphic} {Polynomials} {Whose} {Zeros} are {Real}},
journal = {Publications de l'Institut Math\'ematique},
pages = {29 },
publisher = {mathdoc},
volume = {_N_S_37},
number = {51},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a5/}
}
Ivan Gutman. On Some Graphic Polynomials Whose Zeros are Real. Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 29 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a5/