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DM
2002
134views more  DM 2002»
13 years 4 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 days 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 9 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 5 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 4 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