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arxiv: 1307.6841 · v1 · pith:NXUA3HC5new · submitted 2013-07-25 · 🧮 math.CO · math.LO

Hedetniemi's conjecture for uncountable graphs

classification 🧮 math.CO math.LO
keywords chromaticgraphscardinalconjectureconstructiblecountablyeveryexist
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It is proved that in Godel's constructible universe, for every infinite successor cardinal k, there exist graphs G and H of size and chromatic number k, for which the tensor product graph (G x H) is countably chromatic.

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