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» Improved upper bounds on the crossing number
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SPAA
1993
ACM
13 years 11 months ago
Asymptotically Tight Bounds for Performing BMMC Permutations on Parallel Disk Systems
d Abstract) Thomas H. Cormen Leonard F. Wisniewski Department of Mathematics and Computer Science Dartmouth College We give asymptotically equal lower and upper bounds for the num...
Thomas H. Cormen, Leonard F. Wisniewski
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 years 7 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
COMPGEOM
2008
ACM
13 years 9 months ago
Extremal problems on triangle areas in two and three dimensions
The study of extremal problems on triangle areas was initiated in a series of papers by Erdos and Purdy in the early 1970s. In this paper we present new results on such problems, ...
Adrian Dumitrescu, Micha Sharir, Csaba D. Tó...
CCCG
2010
13 years 8 months ago
Combinatorial changes of euclidean minimum spanning tree of moving points in the plane
In this paper, we enumerate the number of combinatorial changes of the the Euclidean minimum spanning tree (EMST) of a set of n moving points in 2dimensional space. We assume that...
Zahed Rahmati, Alireza Zarei
DAM
2010
111views more  DAM 2010»
13 years 7 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King