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Some properties of involution binary relations

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Abstract

This paper aims to investigate properties of involution binary relations, which are some particular binary relations. We study the concepts of involution spanning sets and give some examples related to different involution binary relations. Moreover, some relationships among the involution independent sets, codes, and involution codes are studied when the mapping function is either a morphic or an antimorphic involution of \(X^*\).

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Acknowledgments

This paper was supported by the National Science Council, R.O.C., under Grant NSC 100-2115-M-025-002. The authors would like to thank the referees for their careful reading of the manuscript and useful suggestions.

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Authors and Affiliations

  1. Department of Information Management, National Chin-Yi University of Technology, Taichung, 411, Taiwan

    Chen-Ming Fan

  2. Department of Information Management, Hsiuping Institute of Technology, Taichung, 412, Taiwan

    Jen-Tse Wang

  3. Center for General Education, National Taichung University of Science and Technology, Taichung, 403, Taiwan

    Cheng-Chih Huang

Authors
  1. Chen-Ming Fan
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  2. Jen-Tse Wang
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  3. Cheng-Chih Huang
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Correspondence to Cheng-Chih Huang.

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Fan, CM., Wang, JT. & Huang, CC. Some properties of involution binary relations. Acta Informatica 52, 483–495 (2015). https://doi.org/10.1007/s00236-014-0208-8

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  • DOI: https://doi.org/10.1007/s00236-014-0208-8

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