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COMGEO
2006
ACM
13 years 7 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
FOCS
2009
IEEE
14 years 2 months ago
On Allocating Goods to Maximize Fairness
Given a set A of m agents and a set I of n items, where agent A ∈ A has utility uA,i for item i ∈ I, our goal is to allocate items to agents to maximize fairness. Specificall...
Deeparnab Chakrabarty, Julia Chuzhoy, Sanjeev Khan...
MFCS
2005
Springer
14 years 1 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
CCCG
2003
13 years 9 months ago
Linear Binary Space Partitions and the Hierarchy of Object Classes
We consider the problem of constructing binary space partitions for the set P of d-dimensional objects in d-dimensional space. There are several classes of objects defined for su...
Petr Tobola, Karel Nechvíle
ISAAC
2007
Springer
135views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Fast Evaluation of Union-Intersection Expressions
Abstract. We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient ...
Philip Bille, Anna Pagh, Rasmus Pagh