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- W2055410529 abstract "Sextet rotations of the perfect matchings of a hexagonal system H are represented by the sextet-rotation-tree R ( H ) , a directed tree with one root. In this article we find a one-to-one correspondence between the non-leaves of R ( H ) and the Clar covers of H , without alternating hexagons. Accordingly, the number ( nl ) of non-leaves of R ( H ) is not less than the number ( cs ) of Clar structures of H . We obtain some simple necessary and sufficient conditions, and a criterion for cs = nl , that are useful for the calculation of Clar polynomials. A procedure for constructing hexagonal systems with cs < nl is provided in terms of normal additions of hexagons." @default.
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- W2055410529 date "2008-05-01" @default.
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- W2055410529 title "Relations between Clar structures, Clar covers, and the sextet-rotation tree of a hexagonal system" @default.
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- W2055410529 doi "https://doi.org/10.1016/j.dam.2007.08.047" @default.
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