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The closure operator and flats of \({\pmb \varGamma }\)-extension matroids

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An Erratum to this article was published on 20 August 2021

An Erratum to this article was published on 20 August 2021

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Abstract

Slater introduced the point-addition operation on graphs to characterize 4-connected graphs. The \(\varGamma \)-extension operation on binary matroids is a generalization of the point-addition operation. In this paper, for a given binary matroid M we characterize the closure operator and the flats of the \(\varGamma \)-extension binary matroid \(M^X\) in terms of the closure operator of original binary matroid M.

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References

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Authors and Affiliations

  1. Department of Mathematics, Urmia University, Urmia, Iran

    Morteza Kazemzade, Habib Azanchiler & Vahid Ghorbani

Authors
  1. Morteza Kazemzade
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  2. Habib Azanchiler
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  3. Vahid Ghorbani
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Corresponding author

Correspondence to Morteza Kazemzade.

Additional information

Communicated by Ravindra B Bapat.

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Kazemzade, M., Azanchiler, H. & Ghorbani, V. The closure operator and flats of \({\pmb \varGamma }\)-extension matroids. Indian J Pure Appl Math 53, 696–700 (2022). https://doi.org/10.1007/s13226-021-00161-1

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  • DOI: https://doi.org/10.1007/s13226-021-00161-1

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