On the non-unit count of interval graphs

Apke, Alexander and Schrader, Rainer (2015) On the non-unit count of interval graphs.
Published in: Discrete Applied Mathematics Vol. 195. pp. 2-7. ISSN 1872-6771

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Abstract

We introduce the non-unit count of an interval graph as the minimum number of intervals in an interval representation whose lengths deviate from one. We characterize a variant of the non-unit count (where all interval lengths are required to be at least one) and graphs with non-unit count 1.


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Item Type: Article
Citations: No citation data.
Uncontrolled Keywords: interval graph uni interval graph comparability invariant
Subjects:
  • 05-XX Combinatorics > 05-02 Research exposition (monographs, survey articles)

  • 05-XX Combinatorics > 05Cxx Graph theory > 05C62 Graph representations (geometric and intersection representations, etc.)

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    Divisions: Institute of Computer Science > Computer Science Department - Prof. Dr. Schrader
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    Deposit Information:
    ZAIK Number: UNSPECIFIED
    Depositing User: Rainer Schrader
    Date Deposited: 15 Oct 2015 15:46
    Last Modified: 16 Oct 2015 08:30
    URI: http://e-archive.informatik.uni-koeln.de/id/eprint/888

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