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ITA
2000
15 years 1 months ago
Construction of very hard functions for multiparty communication complexity
We consider the multiparty communication model de ned in 4] using the formalism from 8]. First, we correct an inaccuracy in the proof of the fundamental result of 6] providing a lo...
Ján Manuch
JCT
2010
81views more  JCT 2010»
15 years 6 days ago
On the probability of a rational outcome for generalized social welfare functions on three alternatives
In [11], Kalai investigated the probability of a rational outcome for a generalized social welfare function (GSWF) on three alternatives, when the individual preferences are unifo...
Nathan Keller
APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
15 years 3 months ago
Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...
SACRYPT
1998
Springer
15 years 6 months ago
The Nonhomomorphicity of Boolean Functions
Abstract. We introduce the notion of nonhomomorphicity as an alternative criterion that forecasts nonlinear characteristics of a Boolean function. Although both nonhomomorphicity a...
Xian-Mo Zhang, Yuliang Zheng
DM
2010
77views more  DM 2010»
15 years 1 months ago
Representing (0, 1)-matrices by boolean circuits
A boolean circuit represents an n by n (0,1)-matrix A if it correctly computes the linear transformation y = Ax over GF(2) on all n unit vectors. If we only allow linear boolean f...
Stasys Jukna