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» On special numberings of hypergraphs
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COMBINATORICS
2006
156views more  COMBINATORICS 2006»
15 years 6 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
ICTAI
2007
IEEE
16 years 9 days ago
Hypergraph Partitioning for Exploiting Localities in Nonlinear Constrained Optimization
In this paper, we present a new hypergraph partitioning algorithm that jointly optimizes the number of hyperedge cuts and the number of shared vertices in nonlinear constrained op...
Benjamin W. Wah, Soomin Lee
RSA
2011
124views more  RSA 2011»
15 years 29 days ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
SIAMDM
2010
84views more  SIAMDM 2010»
15 years 4 months ago
On Computing the Frequencies of Induced Subhypergraphs
Let F be an r-uniform hypergraph with f vertices, where f > r ≥ 3. In [12], R. Yuster posed the problem of whether there exists an algorithm which, for a given r-uniform hyper...
Brendan Nagle
COMBINATORICS
2000
107views more  COMBINATORICS 2000»
15 years 5 months ago
Counting Pattern-free Set Partitions II: Noncrossing and Other Hypergraphs
A (multi)hypergraph H with vertices in N contains a permutation p = a1a2 . . . ak of 1, 2, . . . , k if one can reduce H by omitting vertices from the edges so that the resulting ...
Martin Klazar