Original scientific paper

Unbranched Catacondensed Polygonal Systems Containing Hexagons and Tetragons

Sven J. Cyvin ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway
Bjorg N. Cyvin ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway
Jon Brunvoll ; Department of Physical Chemistry, The University of Trondheim, N-7034 Trondheim-NTH, Norway

Abstract

An algebraic solution for the isomer numbers of unbranched a-4-
catafusenes is presented. An a-4-catafusene is a catacondensed polygonal system consisting of exactly o: tetragons each and otherwise only hexagons. This analysis, which makes use of certain triangular matrices including the Pascal triangle, is a continuation of
a previous work on di-4-catafusenes. By serendipity, the problem
was reversed in the sence that the systems were considered as possessing '7 hexagons each and otherwise only tetragons. Under this
viewpoint the enumeration problem could be solved more directly
and led to explicit formulas. Finally, the resuIts are applied to catafusenes as a special case.

Keywords

Hrčak ID:

177109

URI

https://hrcak.srce.hr/177109

Publication date:

1.11.1996.

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