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COMBINATORICS
2004
102views more  COMBINATORICS 2004»
14 years 9 months ago
Satisfiability and Computing van der Waerden Numbers
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
COMBINATORICS
2006
183views more  COMBINATORICS 2006»
14 years 9 months ago
On Oriented Arc-Coloring of Subcubic Graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
Alexandre Pinlou
COMBINATORICS
2006
133views more  COMBINATORICS 2006»
14 years 9 months ago
Completion of the Wilf-Classification of 3-5 Pairs Using Generating Trees
A permutation is said to avoid the permutation if no subsequence in has the same order relations as . Two sets of permutations 1 and 2 are Wilfequivalent if, for all n, the numb...
Mark Lipson
COMBINATORICS
2006
129views more  COMBINATORICS 2006»
14 years 9 months ago
Descendants in Increasing Trees
Simple families of increasing trees can be constructed from simply generated tree families, if one considers for every tree of size n all its increasing labellings, i. e. labellin...
Markus Kuba, Alois Panholzer
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
14 years 9 months ago
The Induced Subgraph Order on Unlabelled Graphs
A differential poset is a partially ordered set with raising and lowering operators U and D which satisfy the commutation relation DU-UD = rI for some constant r. This notion may ...
Craig A. Sloss