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We give a comprehensive study of bin packing with conflicts (BPC). The input is a set $I$ of items, sizes $s:I \rightarrow [0,1]$, and a conflict graph $G = (I,E)$. The goal is to find a partition of $I$ into a minimum number of independent…

Data Structures and Algorithms · Computer Science 2023-02-22 Ilan Doron-Arad , Hadas Shachnai

We initiate the study of approximate maximum matching in the vertex partition model, for graphs subject to dynamic changes. We assume that the $n$ vertices of the graph are partitioned among $k$ players, who execute a distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Peter Robinson , Xianbin Zhu

In this paper, we present a construction of a `matching sparsifier', that is, a sparse subgraph of the given graph that preserves large matchings approximately and is robust to modifications of the graph. We use this matching sparsifier to…

Data Structures and Algorithms · Computer Science 2018-11-08 Sepehr Assadi , Aaron Bernstein

We introduce a gossip-like protocol for covert message passing between Alice and Bob as they move in an area watched over by a warden Willie. The area hosts a multitude of Internet of (Battlefield) Things (Io\b{eta}T) objects. Alice and Bob…

Information Theory · Computer Science 2021-12-23 Pei Peng , Emina Soljanin

We give a simple approximation algorithm for a common generalization of many previously studied extensions of the maximum size stable matching problem with ties. These generalizations include the existence of critical vertices in the graph,…

Data Structures and Algorithms · Computer Science 2024-02-23 Gergely Csáji

Suppose that Alice and Bob are given each an infinite string, and they want to decide whether their two strings are in a given relation. How much communication do they need? How can communication be even defined and measured for infinite…

Computational Complexity · Computer Science 2015-01-26 Pierre Guillon , Emmanuel Jeandel

While the basic greedy algorithm gives a semi-streaming algorithm with an approximation guarantee of $2$ for the \emph{unweighted} matching problem, it was only recently that Paz and Schwartzman obtained an analogous result for weighted…

Data Structures and Algorithms · Computer Science 2021-02-09 Paritosh Garg , Linus Jordan , Ola Svensson

In the communication problem $\mathbf{UR}$ (universal relation) [KRW95], Alice and Bob respectively receive $x, y \in\{0,1\}^n$ with the promise that $x\neq y$. The last player to receive a message must output an index $i$ such that…

Computational Complexity · Computer Science 2017-04-04 Michael Kapralov , Jelani Nelson , Jakub Pachocki , Zhengyu Wang , David P. Woodruff , Mobin Yahyazadeh

This paper addresses the establishment of secure communication links between smart-meters (Alice) and an aggregator (Bob) in the presence of an eavesdropper (Eve). The proposed scenario assumes: (i) MIMOME wiretap channel; (ii) transmit…

Information Theory · Computer Science 2015-11-23 Hirley Alves , Mauricio Tomé , Pedro H. J. Nardelli , Carlos H. M. de Lima , Matti Latva-aho

Byzantine Agreement (BA) is one of the most fundamental problems in distributed computing, and its communication complexity is an important efficiency metric. It is well known that quadratic communication is necessary for BA in the worst…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Atsuki Momose , Ling Ren

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida

We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

Computational Complexity · Computer Science 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

In this paper, we design secure multi-party computation (MPC) protocols in the asynchronous communication setting with optimal resilience. Our protocols are secure against a computationally-unbounded malicious adversary, characterized by an…

Cryptography and Security · Computer Science 2022-05-27 Ananya Appan , Anirudh Chandramouli , Ashish Choudhury

We study statistical problems, such as planted clique, its variants, and sparse principal component analysis in the context of average-case communication complexity. Our motivation is to understand the statistical-computational trade-offs…

Computational Complexity · Computer Science 2021-07-06 Cyrus Rashtchian , David P. Woodruff , Peng Ye , Hanlin Zhu

State redistribution is the protocol in which, given an arbitrary tripartite quantum state, with two of the subsystems initially being with Alice and one being with Bob, the goal is for Alice to send one of her subsystems to Bob, possibly…

Quantum Physics · Physics 2017-01-12 Nilanjana Datta , Min-Hsiu Hsieh , Jonathan Oppenheim

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

Numerical Analysis · Mathematics 2021-01-25 Junyuan Lin , Guangpeng Ren

Team Coordination on Graphs with Risky Edges (\textsc{tcgre}) is a recently proposed problem, in which robots find paths to their goals while considering possible coordination to reduce overall team cost. However, \textsc{tcgre} assumes…

Robotics · Computer Science 2024-10-31 Yanlin Zhou , Manshi Limbu , Xuan Wang , Daigo Shishika , Xuesu Xiao

In this paper, we study robust distributed sub-optimal coordination of linear agents subject to input nonlinearities. Inspired by the robust agreement literature, we formulate a bounded distributed sub-optimal coordination problem, in which…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Takumi Namba

Fingerprinting is a technique in communication complexity in which two parties (Alice and Bob) with large data sets send short messages to a third party (a referee), who attempts to compute some function of the larger data sets. For the…

Quantum Physics · Physics 2016-09-08 J. Niel de Beaudrap

We presen a secure direct communication protocol by using step-split Einstein-Podolsky-Rosen (EPR) pair. In this communication protocol, Alice first sends one qubit of an EPR pair to Bob. Bob sends a receipt signal to Alice through public…

Quantum Physics · Physics 2016-09-08 Qing-yu Cai