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Cographs Which are Cover-Incomparability Graphs of Posets

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A Commentary to this article was published on 18 August 2018

Abstract

The cover-incomparability graph of a poset P is the edge-union of the covering and the incomparability graph of P. In this paper, the cographs that are cover-incomparability graphs are characterized, and the forbidden isometric subposet characterization of the posets whose cover-incomparability graphs are cographs is proved. In addition, some properties of the cover-incomparability chordal graphs are presented.

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Authors and Affiliations

  1. Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia

    Boštjan Brešar & Tanja Gologranc

  2. Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia

    Boštjan Brešar

  3. Department of Futures Studies, University of Kerala, Thiruvananthapuram, 695 034, India

    Manoj Changat & Baiju Sukumaran

Authors
  1. Boštjan Brešar
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  2. Tanja Gologranc
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  3. Manoj Changat
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  4. Baiju Sukumaran
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Corresponding author

Correspondence to Boštjan Brešar.

Additional information

Work supported by the Ministry of Science of Slovenia and by the Ministry of Science and Technology of India under the bilateral India-Slovenia grants BI-IN/06-07-002 and DSTINT/SLOVENIA-P-17/2009, respectively.

Boštjan Brešar is also with the Institute of Mathematics, Physics and Mechanics, Ljubljana, and also supported by the Ministry of Education, Science and Sport of Slovenia under the grant P1-0297.

Baiju Sukumaran is supported by the University Grants Commission under the FIP scheme

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Brešar, B., Gologranc, T., Changat, M. et al. Cographs Which are Cover-Incomparability Graphs of Posets. Order 32, 179–187 (2015). https://doi.org/10.1007/s11083-014-9324-x

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  • DOI: https://doi.org/10.1007/s11083-014-9324-x

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