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In pliable index coding (PICOD), a number of clients are connected via a noise-free broadcast channel to a server which has a list of messages. Each client has a unique subset of messages at the server as side-information and requests for…

Information Theory · Computer Science 2022-12-27 Tulasi Sowjanya B. , Visvesh Subramanian , Prasad Krishnan

In pliable index coding (PICOD), a number of clients are connected via a noise-free broadcast channel to a server which has a list of messages. Each client has a unique subset of messages at the server as side-information, and requests for…

Information Theory · Computer Science 2025-12-12 Tulasi Sowjanya B. , Prasad Krishnan

This paper introduces the ${\it decentralized}$ Pliable Index CODing (PICOD) problem: a variant of the Index Coding (IC) problem, where a central transmitter serves ${\it pliable}$ users with message side information; here, pliable refers…

Information Theory · Computer Science 2019-04-11 Tang Liu , Daniela Tuninetti

A new variant of index coding problem termed as Pliable Index Coding Problem (PICOD) is formulated in [S. Brahma, C. Fragouli, "Pliable index coding", IEEE Transactions on Information Theory, vol. 61, no. 11, pp. 6192-6203, 2015]. In PICOD,…

Information Theory · Computer Science 2019-01-18 Shanuja Sasi , B. Sundar Rajan

Pliable Index CODing (PICOD) is a variant of the Index Coding (IC) problem in which a user is satisfied whenever it can successfully decode any one message that is not in its side information set, as opposed to a fixed pre-determined…

Information Theory · Computer Science 2018-06-14 Tang Liu , Daniela Tuninetti

The Pliable Index CODing (PICOD) problem is a variant of the Index Coding (IC) problem, where the desired messages by the users, who are equipped with message side information, is part of the optimization. This paper studies the PICOD…

Information Theory · Computer Science 2019-09-10 Tang Liu , Daniela Tuninetti

This paper studies the Pliable Index CODing problem (PICOD), which models content-type distribution networks. In the PICOD$(t)$ problem there are $m$ messages, $n$ users and each user has a distinct message side information set, as in the…

Information Theory · Computer Science 2018-10-10 Tang Liu , Daniela Tuninetti

We propose and study a variant of pliable index coding (PICOD) where receivers have preferences for their unknown messages and give each unknown message a preference ranking. We call this the preferential pliable index-coding (PPICOD)…

Information Theory · Computer Science 2023-05-17 Daniel Byrne , Lawrence Ong , Parastoo Sadeghi , Badri N. Vellambi

Given a geometric hypergraph (or a range-space) $H=(V,\cal E)$, a coloring of its vertices is said to be conflict-free if for every hyperedge $S \in \cal E$ there is at least one vertex in $S$ whose color is distinct from the colors of all…

Combinatorics · Mathematics 2010-12-14 Panagiotis Cheilaris , Shakhar Smorodinsky , Marek Sulovský

We study the secure decentralized Pliable Index CODing (PICOD) problem with circular side information sets at the users. The security constraint forbids every user to decode more than one message while a decentralized setting means there is…

Information Theory · Computer Science 2020-10-21 Tang Liu , Daniela Tuninetti

A '(partial) conflict-free coloring' of a hypergraph $\mathcal{H}$ is an assignment of colors to (a subset of) the vertex set of $\mathcal{H}$ such that every hyperedge in $\mathcal{H}$ has a vertex whose color is distinct from every other…

Combinatorics · Mathematics 2026-05-14 Shiwali Gupta , Rogers Mathew

Pliable index coding considers a server with m messages, and n clients where each has as side information a subset of the messages. We seek to minimize the number of transmissions the server should make, so that each client receives (any)…

Information Theory · Computer Science 2016-01-22 Linqi Song , Christina Fragouli

This paper studies a variant of the Pliable Index CODing (PICOD) problem, i.e., an index coding problem where a user can be satisfied by decoding any message that is not in its side information set, where communication is decentralized,…

Information Theory · Computer Science 2020-01-14 Tang Liu , Daniela Tuninetti

In order to make more complex number-based strings from topological coding for defending against the intelligent attacks equipped with quantum computing and providing effective protection technology for the age of quantum computing, we will…

Cryptography and Security · Computer Science 2024-04-18 Bing Yao , Fei Ma

This paper introduces a novel class of PICOD($t$) problems referred to as $g$-group complete-$S$ PICOD($t$) problems. It constructs a multi-stage achievability scheme to generate pliable index codes for group complete PICOD problems when $S…

Information Theory · Computer Science 2024-05-14 Sina Eghbal , Badri N. Vellambi , Lawrence Ong , Parastoo Sadeghi

We introduce and study conflict-free colourings of $t$-subsets in hypergraphs. In such colourings, one assigns colours to all subsets of vertices of cardinality $t$ such that in any hyperedge of cardinality at least $t$ there is a uniquely…

Combinatorics · Mathematics 2024-03-26 Bruno Jartoux , Chaya Keller , Shakhar Smorodinsky , Yelena Yuditsky

Given a hypergraph $H$, the conflict-free colouring problem is to colour vertices of $H$ using minimum colours so that each hyperedge in $H$ sees a unique colour. We present a polynomial time reduction from the conflict-free colouring…

Data Structures and Algorithms · Computer Science 2020-01-02 S. M. Dhannya , N. S. Narayanaswamy

Given a hypergraph H = (V, E), a coloring of its vertices is said to be conflict-free if for every hyperedge S \in E there is at least one vertex in S whose color is distinct from the colors of all other vertices in S. The discrete interval…

Combinatorics · Mathematics 2012-05-01 Panagiotis Cheilaris , Shakhar Smorodinsky

In this paper, we study the conflict-free coloring of graphs induced by neighborhoods. A coloring of a graph is conflict-free if every vertex has a uniquely colored vertex in its neighborhood. The conflict-free coloring problem is to color…

Data Structures and Algorithms · Computer Science 2017-10-03 I. Vinod Reddy

We study index-coding problems (one sender broadcasting messages to multiple receivers) where each message is requested by one receiver, and each receiver may know some messages a priori. This type of index-coding problems can be fully…

Information Theory · Computer Science 2014-04-24 Lawrence Ong
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