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STOC
1995
ACM
115views Algorithms» more  STOC 1995»
15 years 5 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
102
Voted
CCCG
2007
15 years 3 months ago
On a Geometric Approach to the Segment Sum Problem and Its Generalization
Given a sequence of n real numbers a1, a2, a3, . . . , an, the maximum segment sum problem is that of determining indices i and j (1 ≤ i ≤ j ≤ n) such that the sum s(i, j) =...
Asish Mukhopadhyay, Eugene Greene
126
Voted
DAC
2004
ACM
15 years 5 months ago
Quadratic placement using an improved timing model
The performance of timing-driven placement methods depends strongly on the choice of the net model. In this paper a more precise net model is presented that does not increase nume...
Bernd Obermeier, Frank M. Johannes
ISCAS
2006
IEEE
145views Hardware» more  ISCAS 2006»
15 years 8 months ago
The wordlength determination problem of linear time invariant systems with multiple outputs - a geometric programming approach
This paper proposes two new methods for optimizing objectives and constraints. The GP approach is very general and hardware resources in finite wordlength implementation of it allo...
S. C. Chan, K. M. Tsui
FOCS
2009
IEEE
15 years 8 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi