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» On Bounds for the k-Partitioning of Graphs
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100
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FOCS
2006
IEEE
15 years 4 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
98
Voted
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 1 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
89
Voted
AAAI
2006
14 years 11 months ago
Improved Bounds for Computing Kemeny Rankings
Voting (or rank aggregation) is a general method for aggregating the preferences of multiple agents. One voting rule of particular interest is the Kemeny rule, which minimizes the...
Vincent Conitzer, Andrew J. Davenport, Jayant Kala...
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
14 years 11 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
68
Voted
WG
2005
Springer
15 years 3 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller