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Enumeration of small nonisomorphic pentagonal packings

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Cybernetics and Systems Analysis Aims and scope

Abstract

A complete list consisting of 288 nonisomorphic pentagonal 3-packings into the graph K11 is obtained. Some problems are formulated that can be solved with the help of this list.

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References

  1. J.-C. Bermond, C. Huang, A. Rosa, and D. Sotteau, “Decomposition of complete graphs into isomorphic subgraphs with five vertices,” Ars combinatoria, No. 10, 211–254 (1980).

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  4. A. Ya. Petrenyuk, “Enumeration of decompositions of the graph K17 into wheels W4,” in: Nauk. Zap. KDPU, Sen Fiz. Mat. Nauk, Kirovograd (1998), pp. 56–61.

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Authors and Affiliations

  1. State Flying Academy, Kirovograd, Ukraine

    A. Ya. Petrenyuk

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  1. A. Ya. Petrenyuk
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 72–78, November–December, 1999.

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Petrenyuk, A.Y. Enumeration of small nonisomorphic pentagonal packings. Cybern Syst Anal 35, 903–909 (1999). https://doi.org/10.1007/BF02742282

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  • DOI: https://doi.org/10.1007/BF02742282

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