Geodesic
On Some Graphic Polynomials Whose Zeros are Real
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 29 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 },
     year = {1985},
     volume = {_N_S_37},
     number = {51},
     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/