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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 4 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 20 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
16 years 1 days 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
WINE
2005
Springer
131views Economy» more  WINE 2005»
16 years 1 days ago
On the Competitive Ratio of the Random Sampling Auction
We give a simple analysis of the competitive ratio of the random sampling auction from [10]. The random sampling auction was first shown to be worst-case competitive in [9] (with ...
Uriel Feige, Abraham Flaxman, Jason D. Hartline, R...