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MFCS
2004
Springer
14 years 3 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
COMPGEOM
2004
ACM
14 years 3 months ago
Solution of Scott's problem on the number of directions determined by a point set in 3-space
Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 different dir...
János Pach, Rom Pinchasi, Micha Sharir
CORR
2010
Springer
186views Education» more  CORR 2010»
13 years 10 months ago
Layered Label Propagation: A MultiResolution Coordinate-Free Ordering for Compressing Social Networks
We continue the line of research on graph compression started in [BV04], but we move our focus to the compression of social networks in a proper sense (e.g., LiveJournal): the app...
Paolo Boldi, Marco Rosa, Massimo Santini, Sebastia...
STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 10 months ago
Cutting triangular cycles of lines in space
We show that n lines in 3-space can be cut into O(n2-1/69 log16/69 n) pieces, such that all depth cycles defined by triples of lines are eliminated. This partially resolves a long...
Boris Aronov, Vladlen Koltun, Micha Sharir
ICCS
2003
Springer
14 years 3 months ago
Approximation Algorithms to Minimum Vertex Cover Problems on Polygons and Terrains
We propose an anytime algorithm to compute successively better approximations of the optimum of Minimum Vertex Guard. Though the presentation is focused on polygons, the work may b...
Ana Paula Tomás, António Leslie Baju...