Efficient PRAM simulation on a distributed memory machine
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Simple, efficient shared memory simulations
SPAA '93 Proceedings of the fifth annual ACM symposium on Parallel algorithms and architectures
Exploiting storage redundancy to speed up randomized shared memory simulations
Theoretical Computer Science
Combinatorial optimization
SIAM Journal on Computing
Balanced allocations: the heavily loaded case
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
The k-orientability thresholds for Gn, p
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Tight thresholds for cuckoo hashing via XORSAT
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming
Orientability of random hypergraphs and the power of multiple choices
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming
ESA'11 Proceedings of the 19th European conference on Algorithms
A new approach to the orientation of random hypergraphs
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
The multiple-orientability thresholds for random hypergraphs
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
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Let hw0 be two fixed integers. Let H be a random hypergraph whose hyperedges are all of cardinality h. To w-orient a hyperedge, we assign exactly w of its vertices positive signs with respect to the hyperedge, and the rest negative. A (w,k)-orientation of H consists of a w-orientation of all hyperedges of H, such that each vertex receives at most k positive signs from its incident hyperedges. When k is large enough, we determine the threshold of the existence of a (w,k)-orientation of a random hypergraph. The (w,k)-orientation of hypergraphs is strongly related to a general version of the off-line load balancing problem. The graph case, when h=2 and w=1, was solved recently by Cain, Sanders and Wormald and independently by Fernholz and Ramachandran, thereby settling a conjecture made by Karp and Saks. Motivated by a problem of cuckoo hashing, the special hypergraph case with w=k=1, was solved in three separate preprints dating from October 2009, by Frieze and Melsted, by Fountoulakis and Panagiotou, and by Dietzfelbinger, Goerdt, Mitzenmacher, Montanari, Pagh and Rink.