Geodesic
Hedetniemi's conjecture for uncountable graphs
Journal of the European Mathematical Society, Tome 19 (2017) no. 1, pp. 285-298.

Voir la notice de l'article provenant de la source EMS Press

It is proved that in Gödel's constructible universe, for every infinite successor cardinal κ, there exist graphs G and H of size and chromatic number κ, for which the product graph G×H is countably chromatic.
DOI : 10.4171/jems/666
Classification : 03-XX, 05-XX
Keywords: Hedetniemi's conjecture, product graph, almost countably chromatic, incompactness, constructible universe, Ostaszewski square 
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     author = {Assaf Rinot},
     title = {Hedetniemi's conjecture for uncountable graphs},
     journal = {Journal of the European Mathematical Society},
     pages = {285--298},
     publisher = {mathdoc},
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     number = {1},
     year = {2017},
     doi = {10.4171/jems/666},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/666/}
}
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Assaf Rinot. Hedetniemi's conjecture for uncountable graphs. Journal of the European Mathematical Society, Tome 19 (2017) no. 1, pp. 285-298. doi : 10.4171/jems/666. http://geodesic.mathdoc.fr/articles/10.4171/jems/666/

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