Title of article :
Some Relations between Kekulé Structure and Morgan−Voyce Polynomials
Author/Authors :
GÜLTEKIN, İNCI Department of Mathematics - Faculty of Science - Atatürk University - 25240 Erzurum - Turkey , ŞAHIN, BÜNYAMIN Department of Elemantary Mathematics Education - Faculty of Education - Bayburt University - 69000 Bayburt - Turkey
Abstract :
In this paper, Kekulé structures of benzenoid chains are considered. It has been shown that the coefficients of a Bn (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.
Keywords :
Caterpillar trees , Morgan−Voyce polynomials , Hosoya index , Kekulé structure
Journal title :
Astroparticle Physics
