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SIAMSC
2010
142views more  SIAMSC 2010»
13 years 2 months ago
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
In this paper we present HUND, a hypergraph-based unsymmetric nested dissection ordering algorithm for reducing the fill-in incurred during Gaussian elimination. HUND has several i...
Laura Grigori, Erik G. Boman, Simplice Donfack, Ti...
ICALP
2009
Springer
14 years 7 months ago
Algorithms for Secretary Problems on Graphs and Hypergraphs
We examine several online matching problems, with applications to Internet advertising reservation systems. Consider an edge-weighted bipartite graph G, with partite sets L, R. We...
Martin Pál, Nitish Korula
WG
1993
Springer
13 years 11 months ago
Graphs, Hypergraphs and Hashing
Minimal perfect hash functions are used for memory efficient storage and fast retrieval of items from static sets. We present an infinite family of efficient and practical algori...
George Havas, Bohdan S. Majewski, Nicholas C. Worm...
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 7 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
CORR
2011
Springer
268views Education» more  CORR 2011»
12 years 11 months ago
Approximation Algorithms for Submodular Multiway Partition
Abstract— We study algorithms for the SUBMODULAR MULTIWAY PARTITION problem (SUB-MP). An instance of SUB-MP consists of a finite ground set V , a subset S = {s1, s2, . . . , sk}...
Chandra Chekuri, Alina Ene