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JGT
2006
97views more  JGT 2006»
14 years 9 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
EJC
2007
14 years 9 months ago
Hypertree width and related hypergraph invariants
We study the notion of hypertree width of hypergraphs. We prove that, up to a constant factor, hypertree width is the same as a number of other hypergraph invariants that resemble...
Isolde Adler, Georg Gottlob, Martin Grohe
ISCAS
1994
IEEE
93views Hardware» more  ISCAS 1994»
15 years 1 months ago
The Dynamic Locking Heuristic - A New Graph Partitioning Algorithm
In layout design nding e ciently good solutions to the hypergraph bipartitioning problem is of great importance. This paper introduces a new algorithm, the dynamic locking algorit...
Achim G. Hoffmann
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
15 years 2 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
CAIP
2009
Springer
117views Image Analysis» more  CAIP 2009»
15 years 4 months ago
A Hypergraph-Based Model for Graph Clustering: Application to Image Indexing
Abstract. In this paper, we introduce a prototype-based clustering algorithm dealing with graphs. We propose a hypergraph-based model for graph data sets by allowing clusters overl...
Salim Jouili, Salvatore Tabbone