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COCOON
2009
Springer
15 years 4 months ago
Separating NE from Some Nonuniform Nondeterministic Complexity Classes
We investigate the question whether NE can be separated from the reduction closures of tally sets, sparse sets and NP. We show that (1) NE RNP no(1)-T (TALLY); (2)NE RSN m (SPARS...
Bin Fu, Angsheng Li, Liyu Zhang
127
Voted
COMBINATORICS
2004
102views more  COMBINATORICS 2004»
15 years 3 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...
140
Voted
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
15 years 3 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
128
Voted
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
15 years 3 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
116
Voted
COMBINATORICS
2006
129views more  COMBINATORICS 2006»
15 years 3 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