Triangle Graphs and Simple Trapezoid Graphs
Yaw-Ling Lin
Abstract
Yaw-Ling Lin
Abstract
In this paper, we present results on two subclasses of trapezoid graphs, including simple trapezoid graphs and triangle graphs (also known as PI graph in [3]). Simple trapezoid graphs and triangle graphs are proper subclasses of trapezoid graphs [3, 5]. Here we show that simple trapezoid graphs and triangle graphs are also two distinct subclasses of trapezoid graphs.
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In this paper, we present results on two subclasses of trapezoid graphs, including simple trapezoid graphs and triangle graphs (also known as PI graph in [3]). Simple trapezoid graphs and triangle graphs are proper subclasses of trapezoid graphs [3, 5]. Here we show that simple trapezoid graphs and triangle graphs are also two distinct subclasses of trapezoid graphs.
Key concepts: Trapezoid graph, Indifference graph, Chordal graph, Modular decomposition, Combinatorics, Pathwidth, Maximal independent set, Cograph