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ECCC
2000
93views more  ECCC 2000»
15 years 4 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»
15 years 1 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
15 years 5 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»
14 years 11 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»
15 years 7 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