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    THE MERRIFIELD-SIMMONS INDICES OF 2-METHYL ALKANES AND 1-METHYL BICYCLO [X.1.0] ALKANES
    (Editura Acad Romane, 2017) Gultekin, Inci; Sahin, Bunyamin
    In this paper the Merrifield-Simmons indices of the 2-methyl alkanes and the 1-methyl bicyclo [X.1.0] alkanes are obtained. After that, the Merrifield-Simmons index of the binary compositions of these molecules which are connected with a single carbon atom are obtained.
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    Some Relations between Kekule Structure and Morgan-Voyce Polynomials
    (Univ Kashan, Fac Mathematical Sciences, 2017) Gultekin, Inci; Sahin, Bunyamin
    In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B-n (x) Morgan Voyce polynomial equal to the number of k-matchings (m(G, k)) of a path graph which has N = 2n + 1 points. Furtermore, two relations are obtained between regularly zig zag non-branched catacondensed benzenoid chains and Morgan Voyce polynomials and between regularly zig zag non branched catacondensed benzenoid chains and their corresponding caterpillar trees. (C) 2017 University of Kashan Press. All rights reserved