On the equitability of multiply-connected monolayered cyclofusene |
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Authors: | Sasan Karimi Marty Lewinter Sudesh Kalyanswamy |
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Affiliation: | (1) Chemistry Department, Queensborough Community College, Bayside, NY 11364, USA;(2) Mathematics Department, Purchase College, Purchase, NY 10577, USA;(3) Horace Greeley High School, Chappaqua, NY 10514, USA |
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Abstract: | Multiply-connected monolayered cyclofusene (MMC) is a fused hexacyclic system with an exterior region and at least two interior empty regions called holes, as in figure 1. Each hexacyle has either: (a) two edges belonging to an exterior boundary and at least one hole, or (b) two edges belonging to boundaries of at least two holes. Let G be the graph of a given MMC. We show that G is equitable if and only if the set of vertices belonging to three hexacycles is equitable. |
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Keywords: | multiply-connected monolayered cyclofusene equitable skewness |
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