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In this paper, we study the chromatic number for graphs with forbidden induced subgraphs. We improve the existing χ-binding functions for some subclasses of 2K2-free graphs, namely {2K2,H}-free graphs where H ∈ {K5 − e,K2 + P4,K1 + C4}. In addition, for p ≥ 3, we find the polynomial χ-binding functions {pK2,H}-free graphs where H ∈ {gem, diamond,HV N,K5 − e,K2 + P4, butterf ly, dart, gem +, C4,K1 + C4, P5}.

Chromatic Bounds for the Subclasses of $$pK_2$$-Free Graphs