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Colorful hypergraphs in Kneser hypergraphs
2013Using a $Z_q$-generalization of a theorem of Ky Fan, we extend to Kneser hypergraphs a theorem of Simonyi and Tardos that ensures the existence of multicolored complete bipartite graphs in any proper coloring of a Kneser graph. It allows to derive a lower bound for the local chromatic number of Kneser hypergraphs (using a natural definition of what can
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2014
Authors: Mario Gionfriddo, Lorenzo Milazzo (Department of Mathematics and Computer Science, University of Catania, Italy), and Vitaly Voloshin (Department of Mathematics, Troy University, AL, US) Book Description: Combinatorial designs represent an important area of contemporary discrete mathematics closely related to such fields as finite geometries ...
Gionfriddo M +2 more
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Authors: Mario Gionfriddo, Lorenzo Milazzo (Department of Mathematics and Computer Science, University of Catania, Italy), and Vitaly Voloshin (Department of Mathematics, Troy University, AL, US) Book Description: Combinatorial designs represent an important area of contemporary discrete mathematics closely related to such fields as finite geometries ...
Gionfriddo M +2 more
openaire +2 more sources