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01/07/2023
Observations on the Lovász θ-Function, Graph Capacity, Eigenvalues, and Strong Products
This paper provides new observations on the Lovász θ-function of graphs....
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04/28/2022
Information Inequalities via Submodularity and a Problem in Extremal Graph Theory
The present paper offers, in its first part, a unified approach for the ...
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06/14/2021
Entropy-Based Proofs of Combinatorial Results on Bipartite Graphs
This work considers new entropy-based proofs of some known, or otherwise...
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04/09/2021
On Two-Stage Guessing
Stationary memoryless sources produce two correlated random sequences X^...
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03/31/2021
On Strong Data-Processing and Majorization Inequalities with Applications to Coding Problems
This work provides data-processing and majorization inequalities for f-d...
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12/22/2020
An Information-Theoretic Proof of a Bound on the Number of Independent Sets in Bipartite Graphs
The present paper provides an information-theoretic proof of Kahn's conj...
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05/12/2020
Some Useful Integral Representations for Information-Theoretic Analyses
This work is an extension of our earlier article, where a well–known int...
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04/23/2020
On Relations Between the Relative entropy and χ^2–Divergence, Generalizations and Applications
This paper is focused on a study of integral relations between the relat...
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12/12/2019
An Integral Representation of the Logarithmic Function with Applications in Information Theory
We explore a well-known integral representation of the logarithmic funct...
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11/06/2019
On Data-Processing and Majorization Inequalities for f-Divergences with Applications
This paper is focused on derivations of data-processing and majorization...
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12/08/2018
Tight Bounds on the Rényi Entropy via Majorization with Applications to Guessing and Compression
This paper provides tight bounds on the Rényi entropy of a function of a...
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04/17/2018
On f-Divergences: Integral Representations, Local Behavior, and Inequalities
This paper is focused on f-divergences, consisting of three main contrib...
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01/04/2018