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cs.DM2020
Chang's lemma via Pinsker's inequality
Lianna Hambardzumyan, Yaqiao Li
Extending the idea in [Impagliazzo, R., Moore, C. and Russell, A., An entropic proof of Chang's inequality. SIAM Journal on Discrete Mathematics, 28(1), pp.173-176.] we give a shor…
cs.DM2019
Biasing Boolean Functions and Collective Coin-Flipping Protocols over Arbitrary Product Distributions
Yuval Filmus, Lianna Hambardzumyan, Hamed Hatami +2
The seminal result of Kahn, Kalai and Linial shows that a coalition of players can bias the outcome of any Boolean function with respe…
cs.DM2015
Graphs, Disjoint Matchings and Some Inequalities
Lianna Hambardzumyan, Vahan Mkrtchyan
For and a graph let denote the size of a maximum -edge-colorable subgraph of . Mkrtchyan, Petrosyan and Vardanyan proved that $ν_2(G)\geq \frac45\cdot…