Vol. 37(51), pp. 2932 (1985) 

On some graphic polynomials whose zeros are realIvan GutmanPrirodnomatemati\v cki fakultet, Kragujevac, YugoslaviaAbstract: Polynomials which are formed by linear combination of the characteristic polynomial of a graph $\,G\,$ and the characteristic polynomials of the vertexdeleted 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 vertexdeleted subgraphs of $\,G\,$. Several statements about the location of the zeros of these polynomials are obtained. Classification (MSC2000): 05C55 Full text of the article:
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