Abstract
In this paper, we study the chromatic number of 2K2-free graphs. We show linear χ-binding functions for several subclasses of 2K2-free graphs, namely (2K2,H)-free graphs where H∈{house,gem,2K1+Kp,(K1∪K2)+Kp}. We will also discuss χ-binding functions for (2K2,claw)-free graphs. Finally, we will present extensions of our results to subclasses of P5-free graphs.
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