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Keywords:
cycle graph; eigenvalues; distance spectrum; even cycle; odd cycle
cycle graph; eigenvalues; distance spectrum; even cycle; odd cycle
Summary:
Analytic expressions for the roots of the distance polynomial of a cycle are given.
References:
[1] P. Křivka N. Trinajstič: On the distance polynomial of a graph. Aplikace matematiky 28 (1983), 357-363. MR 0712912
[2] O. E. Polanský N. N. Tyutyulkov: Structural graphs of regular polymers and their properties. Match (Mülheim/Ruhr) 3 (1977), 149-223. MR 0485522
[3] A. Graovac I. Gutman M. Randič N. Trinajstič: On structural features characterizing conductivity in polymeric conjugated hydrocarbons. Colloid & Polymer Sci. 255 (1977), 480-487. DOI 10.1007/BF01536464
[4] O. E. Polansky: Über ungesättige Monocyclen mit durchlaufender Konjugation, 2. Mitt.: Berechnung der Elektronenstruktur mit Hilfe der einfachen LCAO - MO Methode und allgemeine gruppentheoretische Betrachtungen. Mh. Chem. 91 (1960), 916 - 962.
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