The size of graphs with clique number m and without nowhere-zero 4-flows
Let G be a 2-edge-connected simple graph on n⩾24 vertices containng no Km+1. Of|E(G)|⩾(n - 17 - k2)+(m - l)(k + 12)+ 33,where ⌊n−17/m⌋, then either G has a nowhere-zero 4-flow, or G can be contracted to the Petersen graph. This is a generalization of a result in .
Chen, Zhi-Hong, "The size of graphs with clique number m and without nowhere-zero 4-flows" Discrete Mathematics 163/1-3 (1997): 247-249.
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