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JCT
2008
76views more  JCT 2008»
13 years 7 months ago
Quadruple systems with independent neighborhoods
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
Zoltán Füredi, Dhruv Mubayi, Oleg Pikh...
CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 2 months ago
Distributed Deterministic Edge Coloring using Bounded Neighborhood Independence
We study the edge-coloring problem in the message-passing model of distributed computing. This is one of the most fundamental problems in this area. Currently, the best-known dete...
Leonid Barenboim, Michael Elkin
DM
2008
70views more  DM 2008»
13 years 7 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