Hexagonal systems with forcing edges

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Hexagonal systems with forcing edges

An edge of a hexagonal system H is said to be forcing if it belongs to exactly one perfect matching of H. Using the concept of Z-transformation of hexagonal system, we give a characterization for the hexagonal systems with forcing edges and determine all forcing edges is such systems. We also give the generating function of all hexagonal systems with forcing edges. A hexaoonal system, also call...

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The idea of “forcing” has long been used in many research fields, such as colorings, orientations, geodetics and dominating sets in graph theory, as well as Latin squares, block designs and Steiner systems in combinatorics (see [1] and the references therein). Recently, the forcing on perfect matchings has been attracting more researchers attention. A forcing set of M is a subset of M contained...

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complete forcing numbers of polyphenyl systems

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1995

ISSN: 0012-365X

DOI: 10.1016/0012-365x(93)e0184-6