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IMAMS
2007
157views Mathematics» more  IMAMS 2007»
15 years 6 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
CORR
2010
Springer
100views Education» more  CORR 2010»
15 years 4 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic
DCG
2008
69views more  DCG 2008»
15 years 4 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
ECCC
2006
109views more  ECCC 2006»
15 years 4 months ago
How to rank with few errors: A PTAS for Weighted Feedback Arc Set on Tournaments
Suppose you ran a chess tournament, everybody played everybody, and you wanted to use the results to rank everybody. Unless you were really lucky, the results would not be acyclic...
Claire Kenyon-Mathieu, Warren Schudy
ANOR
2002
88views more  ANOR 2002»
15 years 4 months ago
Multicriteria Semi-Obnoxious Network Location Problems (MSNLP) with Sum and Center Objectives
Locating a facility is often modeled as either the maxisum or the minisum problem, reflecting whether the facility is undesirable (obnoxious) or desirable. But many facilities are ...
Horst W. Hamacher, Martine Labbé, Stefan Ni...