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math.CO2010
Injective colorings of sparse graphs
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
Let denote the maximum average degree (over all subgraphs) of and let denote the injective chromatic number of . We prove that if , then $…
math.CO2010
Injective colorings of graphs with low average degree
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
Let $\mad(G)$ denote the maximum average degree (over all subgraphs) of and let denote the injective chromatic number of . We prove that if and $\mad(G)<\…