Ramsey Numbers for Partially-Ordered Sets

We present a refinement of Ramsey numbers by considering graphs with a partial ordering on their vertices. This is a natural extension of the ordered Ramsey numbers. We formalize situations in which we can use arbitrary families of partially-ordered sets to form host graphs for Ramsey problems. We e...

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Veröffentlicht in:	Order (Dordrecht) 2018-11, Vol.35 (3), p.557-579
Hauptverfasser:	Cox, Christopher, Stolee, Derrick
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Boolean algebra Discrete Mathematics Graphs Lattices Mathematics Mathematics and Statistics Numbers Order Ordered Algebraic Structures Software reviews
Online-Zugang:	Volltext
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