36 citations · 43 across the 5 of their papers we have counts for
5 papers
Maximizing the number of nonnegative subsets
Noga Alon, Harout Aydinian, Hao Huang
Given a set of real numbers, if the sum of elements of every subset of size larger than is negative, what is the maximum number of subsets of nonnegative sum? In this note…
Mixed orthogonal arrays, -dimensional -part Sperner multi-families, and full multi-transversals
Harout Aydinian, Éva Czabarka, László A. Székely
Aydinian et al. [J. Combinatorial Theory A 118(2)(2011), 702-725] substituted the usual BLYM inequality for L-Sperner families with a set of M inequalities for $(m_1,m_2,...,m_M;L_…
AZ-identities and Strict 2-part Sperner Properties of Product Posets
Harout Aydinian, Péter L. Erdős
One of the central issues in extremal set theory is Sperner's theorem and its generalizations. Among such generalizations is the best-known BLYM inequality and the Ahlswede--Zhang…
On generic erasure correcting sets and related problems
Rudolf Ahlswede, Harout Aydinian
Motivated by iterative decoding techniques for the binary erasure channel Hollmann and Tolhuizen introduced and studied the notion of generic erasure correcting sets for linear cod…
On q-ary codes correcting all unidirectional errors of a limited magnitude
R. Ahlswede, H. Aydinian, L. H. Khachatrian +1
We consider codes over the alphabet Q={0,1,..,q-1}intended for the control of unidirectional errors of level l. That is, the transmission channel is such that the received word can…