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DM
2002
134views more  DM 2002»
13 years 6 months ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon
GC
2012
Springer
12 years 1 months ago
Covering Complete Hypergraphs with Cuts of Minimum Total Size
A cut [X, V − X] in a hypergraph with vertex-set V is the set of all edges that meet both X and V − X. Let sr(n) denote the minimum total size of any cover of the edges of the ...
Sebastian M. Cioaba, André Kündgen
GD
2009
Springer
13 years 10 months ago
On Planar Supports for Hypergraphs
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
Kevin Buchin, Marc J. van Kreveld, Henk Meijer, Be...
FOIKS
2008
Springer
13 years 7 months ago
Autonomous Sets - A Method for Hypergraph Decomposition with Applications in Database Theory
We present a method for decomposing a hypergraph with certain regularities into smaller hypergraphs. By applying this to the set of all canonical covers of a given set of functiona...
Henning Köhler
EJC
2006
13 years 6 months ago
3-star factors in random d-regular graphs
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been u...
Hilda Assiyatun, Nicholas C. Wormald