On multiplicative graphs and the product conjecture
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Date
2009-08-25T18:46:59Z
Authors
Haggkvist, Roland
Hell, Pavol
Miller, Donald J.
Neumann Lara, Victor
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Abstract
We characterize those directed and undirected paths P and cycles C which have the property that the class of graphs not admitting a homomorphism into P, respectively C, is closed under taking the product (conjunction). Whether all undirected complete graphs have the property is a longstanding open question due to S. Hedetniemi.