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Journal of Mathematical Physics / Volume 26 / Issue 9

J. Math. Phys. 26, 2396 (1985); http://dx.doi.org/10.1063/1.526827 (3 pages)

Fibonacci graphs possessing identical matching polynomials

Sherif El‐Basil1, Pavel Krivka2, and Nenad Trinajstić3

1Faculty of Pharmacy, Kasr El‐Aini Street, Cairo, Egypt
2Department of Mathematics, Higher School of Chemical Technology, 53210 Pardubice, Czechoslovakia
3The Rugjer Bosković Institute, P.O.B. 1016, 41001 Zagreb, Croatia, Yugoslavia

(Received 10 October 1985; accepted 22 February 1985)

A sequence of Fibonacci graphs is defined. A special case of Fibonacci graphs, i.e., those with identical matching polynomials, is discussed and conditions under which they appear are given. The appearance of Fibonacci graphs with identical matching polynomials may have some implications in statistical physics.

KEYWORDS and PACS

Keywords

POLYNOMIALS, STATISTICS, THERMODYNAMICS, GRAPHS, RECURSION RELATIONS, TOPOLOGY, GRAPH THEORY

PACS

  • 02.10.De

    Algebraic structures and number theory

  • 82.90.+j

    Other topics in physical chemistry and chemical physics (restricted to new topics in section 82)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.526827

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    O. J. Heilmann and E. H. Lieb, Phys. Rev. Lett. 24, 1412 (1970).



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