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» Pseudorandomness and Combinatorial Constructions
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ISVC
2009
Springer
14 years 5 months ago
Combinatorial Preconditioners and Multilevel Solvers for Problems in Computer Vision and Image Processing
Abstract. Linear systems and eigen-calculations on symmetric diagonally dominant matrices (SDDs) occur ubiquitously in computer vision, computer graphics, and machine learning. In ...
Ioannis Koutis, Gary L. Miller, David Tolliver
QSIC
2003
IEEE
14 years 4 months ago
Generating Small Combinatorial Test Suites to Cover Input-Output Relationships
In this paper, we consider a problem that arises in black box testing: generating small test suites (i.e., sets of test cases) where the combinations that have to be covered are s...
Christine Cheng, Adrian Dumitrescu, Patrick J. Sch...
SODA
1996
ACM
95views Algorithms» more  SODA 1996»
14 years 14 days ago
RNC Algorithms for the Uniform Generation of Combinatorial Structures
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
Michele Zito, Ida Pu, Martyn Amos, Alan Gibbons
DM
2006
81views more  DM 2006»
13 years 11 months ago
A combinatorial identity with application to Catalan numbers
By a very simple argument, we prove that if l, m, n {0, 1, 2, . . . } then l k=0 (-1)m-k l k m - k n 2k k - 2l + m = l k=0 l k 2k n n - l m + n - 3k - l . On the basis of this ide...
Hao Pan, Zhi-Wei Sun
EOR
2007
117views more  EOR 2007»
13 years 11 months ago
Approximation of min-max and min-max regret versions of some combinatorial optimization problems
This paper investigates, for the first time in the literature, the approximation of minmax (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...