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» On the Chromatic Thresholds of Hypergraphs
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CIE
2006
Springer
15 years 1 months ago
From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
CORR
2010
Springer
102views Education» more  CORR 2010»
14 years 9 months ago
Structure of random r-SAT below the pure literal threshold
It is well known that there is a sharp density threshold for a random r-SAT formula to be satisfiable, and a similar, smaller, threshold for it to be satisfied by the pure literal ...
Alexander D. Scott, Gregory B. Sorkin
EJC
2006
14 years 9 months ago
Perfect matchings in uniform hypergraphs with large minimum degree
A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition for the existence of a p...
Vojtech Rödl, Andrzej Rucinski, Endre Szemer&...
COMPGEOM
2011
ACM
14 years 1 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
COMBINATORICA
2011
13 years 9 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller