Longest Paths in Circular Arc Graphs

نویسندگان

  • Paul N. Balister
  • Ervin Györi
  • Jenö Lehel
  • Richard H. Schelp
چکیده

We show that all maximum length paths in a connected circular arc graph have non–empty intersection.

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A Note on Longest Paths in Circular Arc Graphs

As observed by Rautenbach and Sereni [SIAM J. Discrete Math. 28 (2014) 335–341] there is a gap in the proof of the theorem of Balister et al. [Combin. Probab. Comput. 13 (2004) 311–317], which states that the intersection of all longest paths in a connected circular arc graph is nonempty. In this paper we close this gap.

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عنوان ژورنال:
  • Combinatorics, Probability & Computing

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2004