Thin strip graphs

Takashi Hayashi, Akitoshi Kawamura, Yota Otachi, Hidehiro Shinohara, Koichi Yamazaki

研究成果: Contribution to journalArticle査読

抄録

A unit disk graph is a c-strip graph if it has a unit disk representation in which all centers of the unit disks lie between two parallel lines at distance c. The classes of c-strip graphs for various c are studied in the literature. For example, the 0-strip graphs are exactly the unit interval graphs, and every 3/2-strip graph is a co-comparability graph. In this paper, we introduce the class of thin strip graphs and study their properties. A graph is a thin strip graph if it is a c-strip graph for every c>0. We show that there is no constant t such that the t-strip graphs are exactly the thin strip graphs. We also show that the class of thin strip graphs properly includes the class of mixed unit interval graphs.

本文言語英語
ページ(範囲)203-210
ページ数8
ジャーナルDiscrete Applied Mathematics
216
DOI
出版ステータス出版済み - 1 10 2017
外部発表はい

All Science Journal Classification (ASJC) codes

  • 離散数学と組合せ数学
  • 応用数学

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