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CORR
2012
Springer
193views Education» more  CORR 2012»
12 years 2 months ago
Approximate Counting of Matchings in Sparse Hypergraphs
Abstract. In this paper we give a fully polynomial randomized approximation scheme (FPRAS) for the number of all matchings in hypergraphs belonging to a class of sparse, uniform hy...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
COMBINATORICS
2007
68views more  COMBINATORICS 2007»
13 years 6 months ago
Compositions of Graphs Revisited
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
Aminul Huq
STOC
2005
ACM
167views Algorithms» more  STOC 2005»
14 years 6 months ago
Approximately counting integral flows and cell-bounded contingency tables
We consider the problem of approximately counting integral flows in a network. We show that there is an fpras based on volume estimation if all capacities are sufficiently large, ...
Mary Cryan, Martin E. Dyer, Dana Randall
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 6 months ago
Approximate counting by dynamic programming
We give efficient algorithms to sample uniformly, and count approximately, the solutions to a zero-one knapsack problem. The algorithm is based on using dynamic programming to pro...
Martin E. Dyer
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 8 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan