Geodesic
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 
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     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/}
}
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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/