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RSA
2010
113views more  RSA 2010»
14 years 8 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
OL
2010
185views more  OL 2010»
14 years 8 months ago
On the Hamming distance in combinatorial optimization problems on hypergraph matchings
In this note we consider the properties of the Hamming distance in combinatorial optimization problems on hypergraph matchings, also known as multidimensional assignment problems....
Alla R. Kammerdiner, Pavlo A. Krokhmal, Panos M. P...
STOC
2010
ACM
181views Algorithms» more  STOC 2010»
14 years 9 months ago
Load balancing and orientability thresholds for random hypergraphs
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are uniformly of size h. To w-orient a hyperedge, we assign exactly w of its vertices posi...
Pu Gao, Nicholas C. Wormald
186
Voted
CVPR
2011
IEEE
14 years 5 months ago
Hyper-graph Matching via Reweighted Random Walks
Establishing correspondences between two feature sets is a fundamental issue in computer vision, pattern recognition, and machine learning. This problem can be well formulated as g...
Jungmin Lee (Seoul National University), Minsu Cho...
JCO
2010
97views more  JCO 2010»
14 years 8 months ago
Subhypergraph counts in extremal and random hypergraphs and the fractional q-independence
We study the extremal parameter N(n, m, H) which is the largest number of copies of a hypergraph H that can be formed of at most n vertices and m edges. Generalizing previous work...
Andrzej Dudek, Joanna Polcyn, Andrzej Rucinski