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» On special numberings of hypergraphs
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APAL
2011
13 years 1 months ago
Dichotomy theorems for countably infinite dimensional analytic hypergraphs
Abstract. We give classical proofs, strengthenings, and generalizations of Lecomte’s characterizations of analytic ω-dimensional hypergraphs with countable Borel chromatic numbe...
Benjamin D. Miller
LION
2009
Springer
125views Optimization» more  LION 2009»
14 years 19 days ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo
IPCO
2010
184views Optimization» more  IPCO 2010»
13 years 7 months ago
Computing Minimum Multiway Cuts in Hypergraphs from Hypertree Packings
Hypergraph multiway cut problem is a problem of finding a minimum capacity set of hyperedges whose removal divides a given hypergraph into a specified number of connected componen...
Takuro Fukunaga
DM
2008
70views more  DM 2008»
13 years 6 months ago
On the number of minimal transversals in 3-uniform hypergraphs
We prove that the number of minimal transversals (and also the number of maximal independent sets) in a 3-uniform hypergraph with n vertices is at most cn , where c
Zbigniew Lonc, Miroslaw Truszczynski
COCOON
2006
Springer
13 years 8 months ago
Creation and Growth of Components in a Random Hypergraph Process
Denote by an -component a connected b-uniform hypergraph with k edges and k(b - 1) - vertices. We prove that the expected number of creations of -component during a random hypergr...
Vlady Ravelomanana, Alphonse Laza Rijamamy