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Journal of Mathematical Chemistry

, Volume 41, Issue 1, pp 59–61 | Cite as

On the equitability of multiply-connected monolayered cyclofusene

  • Sasan Karimi
  • Marty Lewinter
  • Sudesh Kalyanswamy
Article

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.

Keywords

multiply-connected monolayered cyclofusene equitable skewness 

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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Sasan Karimi
    • 1
  • Marty Lewinter
    • 2
  • Sudesh Kalyanswamy
    • 3
  1. 1.Chemistry DepartmentQueensborough Community CollegeBaysideUSA
  2. 2.Mathematics DepartmentPurchase CollegePurchaseUSA
  3. 3.Horace Greeley High SchoolChappaquaUSA

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