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ALGORITHMICA
2004
125views more  ALGORITHMICA 2004»
15 years 6 months ago
Multidimensional Cube Packing
We consider the d-dimensional cube packing problem (d-CPP): given a list L of d-dimensional cubes and (an unlimited quantity of) d-dimensional unit-capacity cubes, called bins, fi...
Yoshiharu Kohayakawa, Flávio Keidi Miyazawa...
ECCC
2010
87views more  ECCC 2010»
15 years 5 months ago
On the degree of symmetric functions on the Boolean cube
In this paper we study the degree of non-constant symmetric functions f : {0, 1}n → {0, 1, . . . , c}, where c ∈ N, when represented as polynomials over the real numbers. We s...
Gil Cohen, Amir Shpilka
SODA
2010
ACM
148views Algorithms» more  SODA 2010»
16 years 3 months ago
Limits on the Social Welfare of Maximal-In-Range Auction Mechanisms
Many commonly-used auction mechanisms are "maximal-in-range". We show that any maximalin-range mechanism for n bidders and m items cannot both approximate the social wel...
Dave Buchfuhrer, Chris Umans
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
16 years 17 days ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
MFCS
2005
Springer
15 years 12 months ago
Online Interval Coloring with Packing Constraints
We study online interval coloring problems with bandwidth. We are interested in some variants motivated by bin packing problems. Specifically we consider open-end coloring, cardin...
Leah Epstein, Meital Levy