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» On a Generalisation of Herbrand's Theorem
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CCCG
2009
13 years 8 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
JUCS
2010
110views more  JUCS 2010»
13 years 2 months ago
On Choice Principles and Fan Theorems
: Veldman proved that the contrapositive of countable binary choice is a theorem of full-fledged intuitionism, to which end he used a principle of continuous choice and the fan the...
Hannes Diener, Peter Schuster
FOCS
2002
IEEE
14 years 15 days ago
A Dichotomy Theorem for Constraints on a Three-Element Set
The Constraint Satisfaction Problem (CSP) provides a common framework for many combinatorial problems. The general CSP is known to be NP-complete; however, certain restrictions on...
Andrei A. Bulatov
JCT
2007
90views more  JCT 2007»
13 years 7 months ago
Overpartitions, lattice paths, and Rogers-Ramanujan identities
We define the notions of successive ranks and generalized Durfee squares for overpartitions. We show how these combinatorial statistics give extensions to overpartitions of combin...
Sylvie Corteel, Olivier Mallet
CALCO
2009
Springer
163views Mathematics» more  CALCO 2009»
14 years 2 months ago
Algebras for Parameterised Monads
Abstract. Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monad...
Robert Atkey