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» On partitioning of hypergraphs
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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
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
STACS
2010
Springer
14 years 2 months ago
Exact Covers via Determinants
Given a k-uniform hypergraph on n vertices, partitioned in k equal parts such that every hyperedge includes one vertex from each part, the k-Dimensional Matching problem asks wheth...
Andreas Björklund