Perfect matchings in hexagonal systems

Abstract

A simple algorithm is developed which allows to decide whether or not a given hexagonal system has a perfect matching (and to find such a matching). This decision is also of chemical relevance since a hexagonal system is the skeleton of a benzenoid hydrocarbon molecule if and only if it has a perfect matching.

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References

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Dedicated to Paul Erdős on his seventieth birthday

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Sachs, H. Perfect matchings in hexagonal systems. Combinatorica 4, 89–99 (1984). https://doi.org/10.1007/BF02579161

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AMS subject classification (1980)

  • 05 B 50, 05 C 70, 05 C 75, 05 C 38
  • 81 G 55