Co-TT graphs and a characterization of split co-TT graphs

作者：Golumbic Martin Charles^*; Weingarten Nirit Lefel; Limouzy Vincent

来源：Discrete Applied Mathematics, 2014, 165: 168-174.

DOI：10.1016/j.dam.2012.11.014

• Complement threshold tolerance graph
• Interval containment bigraph
• Interval graph
• Split graph

In this paper, we present a new characterization of complement Threshold Tolerance graphs (co-TT for short) and find a recognition algorithm for the subclass of split co-TT graphs running in 0(n(2)) time. Currently, the best recognition algorithms for co-TT graphs and for split co-TT graphs run in 0(n(4)) time (Hammer and Simeone (1981) [4]; Monma et al. (1988)[7]).