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A note on simultaneous representation problem for interval and circular-arc graphs

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 نشر من قبل Jan Bok
 تاريخ النشر 2018
  مجال البحث الهندسة المعلوماتية
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In this short note, we show two NP-completeness results regarding the emph{simultaneous representation problem}, introduced by Lubiw and Jampani. The simultaneous representation problem for a given class of intersection graphs asks if some $k$ graphs can be represented so that every vertex is represented by the same interval in each representation. We prove that it is NP-complete to decide this for the class of interval and circular-arc graphs in the case when $k$ is a part of the input and graphs are not in a sunflower position.



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