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RSA
2010
89views more  RSA 2010»
13 years 6 months ago
Ramsey properties of random discrete structures
We study thresholds for Ramsey properties of random discrete structures. In particular, we determine the threshold for Rado’s theorem for solutions of partition regular systems o...
Ehud Friedgut, Vojtech Rödl, Mathias Schacht
ORDER
2011
13 years 2 months ago
Order Types of Convex Bodies
We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...
Alfredo Hubard, Luis Montejano, Emiliano Mora, And...
AML
2011
322views Mathematics» more  AML 2011»
13 years 2 months ago
A dedekind finite borel set
In this paper we prove three theorems about the theory of Borel sets in models of ZF without any form of the axiom of choice. We prove that if B ⊆ 2ω is a Gδσ-set then either...
Arnold W. Miller
EJC
2002
13 years 7 months ago
On the Natural Imprint Function of a Graph
A subgraph H of a graph G is gated if for every x V(G) there exists a vertex u in H such that dG (x, v) = dG (x, u) + d G (u, v) for any v V(H). The gated amalgam of graphs G 1 an...
Bostjan Bresar
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 5 months ago
From Holant To #CSP And Back: Dichotomy For Holant$^c$ Problems
We explore the intricate interdependent relationship among counting problems, considered from three frameworks for such problems: Holant Problems, counting CSP and weighted H-color...
Jin-yi Cai, Sangxia Huang, Pinyan Lu