### Linear time recognition of P4-indifference graphs

*Michel Habib, Christophe Paul, Laurent Viennot*

#### Abstract

A graph is a P4-indifference graph if it admits an ordering < on its vertices such that every chordless path with vertices a, b, c, d and edges ab, bc, cd has a<b<c<d or d<c<b<a. We present a linear time recognition for these graphs.

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