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ECCC
2000
93views more  ECCC 2000»
13 years 7 months ago
Improved Approximation of MAX-CUT on Graphs of Bounded Degree
We analyze the addition of a simple local improvement step to various known randomized approximation algorithms. Let ' 0:87856 denote the best approximation ratio currently k...
Uriel Feige, Marek Karpinski, Michael Langberg
DMTCS
2010
133views Mathematics» more  DMTCS 2010»
13 years 5 months ago
An improved bound on the largest induced forests for triangle-free planar graphs
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Lukasz Kowalik, Borut Luzar, Riste Skrekovski
FOCS
2008
IEEE
13 years 8 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
CORR
2011
Springer
192views Education» more  CORR 2011»
13 years 2 months ago
Improved Approximation Guarantees for Lower-Bounded Facility Location
d Abstract) Sara Ahmadian∗ Chaitanya Swamy∗ We consider the lower-bounded facility location (LBFL) problem (also sometimes called load-balanced facility location), which is a ...
Sara Ahmadian, Chaitanya Swamy
SACRYPT
2000
Springer
107views Cryptology» more  SACRYPT 2000»
13 years 11 months ago
Improved Upper Bound on the Nonlinearity of High Order Correlation Immune Functions
It has recently been shown that when m > 1 2 n - 1, the nonlinearity Nf of an mth-order correlation immune function f with n variables satisfies the condition of Nf 2n-1 - 2m ,...
Yuliang Zheng, Xian-Mo Zhang