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» A new approach to the orientation of random hypergraphs
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CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 19 days ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge
RSA
2010
113views more  RSA 2010»
13 years 3 months ago
The order of the giant component of random hypergraphs
We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n, p) with edge probability p = c/ n−1 d−1...
Michael Behrisch, Amin Coja-Oghlan, Mihyun Kang
COMPGEOM
2011
ACM
12 years 8 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
COMBINATORICS
2006
131views more  COMBINATORICS 2006»
13 years 5 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald
WEA
2010
Springer
250views Algorithms» more  WEA 2010»
13 years 10 months ago
Randomized Rounding for Routing and Covering Problems: Experiments and Improvements
We investigate how the recently developed different approaches to generate randomized roundings satisfying disjoint cardinality constraints behave when used in two classical algori...
Benjamin Doerr, Marvin Künnemann, Magnus Wahl...