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» On Planar Supports for Hypergraphs
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CORR
2008
Springer
96views Education» more  CORR 2008»
13 years 5 months ago
Tree-width of hypergraphs and surface duality
In Graph Minors III, Robertson and Seymour write:"It seems that the tree-width of a planar graph and the tree-width of its geometric dual are approximately equal -- indeed, w...
Frédéric Mazoit
STACS
2009
Springer
14 years 1 days ago
Approximating Acyclicity Parameters of Sparse Hypergraphs
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
GD
2008
Springer
13 years 6 months ago
Subdivision Drawings of Hypergraphs
Abstract. We introduce the concept of subdivision drawings of hypergraphs. In a subdivision drawing each vertex corresponds uniquely to a face of a planar subdivision and, for each...
Michael Kaufmann, Marc J. van Kreveld, Bettina Spe...
SIAMDM
2008
89views more  SIAMDM 2008»
13 years 5 months ago
Planarity, Colorability, and Minor Games
Let m and b be positive integers and let F be a hypergraph. In an (m, b) Maker-Breaker game F two players, called Maker and Breaker, take turns selecting previously unclaimed vert...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
EJC
2006
13 years 5 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&...