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math.CO2016
Supersaturation in Posets and Applications Involving the Container Method
Jonathan A. Noel, Alex Scott, Benny Sudakov
We consider 'supersaturation' problems in partially ordered sets (posets) of the following form. Given a finite poset and an integer greater than the cardinality of the lar…
math.CO2016
Cyclic Coloring of Plane Graphs with Maximum Face Size 16 and 17
Zdenek Dvorak, Michael Hebdige, Filip Hlasek +2
Plummer and Toft conjectured in 1987 that the vertices of every 3-connected plane graph with maximum face size D can be colored using at most D+2 colors in such a way that no face…