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We consider the following stochastic matching problem on both weighted and unweighted graphs: A graph $G(V, E)$ along with a parameter $p \in (0, 1)$ is given in the input. Each edge of $G$ is realized independently with probability $p$.…

Data Structures and Algorithms · Computer Science 2018-11-09 Soheil Behnezhad , Alireza Farhadi , MohammadTaghi Hajiaghayi , Nima Reyhani

Kidney exchange programs (KEP's) represent an additional possibility of transplant for patients suffering from end stage kidney disease. If a patient has a willing living donor with whom the patient is not compatible, the pair…

Computer Science and Game Theory · Computer Science 2020-12-10 Xenia Klimentova , Péter Biró , Ana Viana , Virginia Costa , João Pedro Pedroso

Stochastic dynamic matching problems have recently gained attention in the stochastic-modeling community due to their diverse applications, such as supply-chain management and kidney exchange programs. In this paper, we study a matching…

Networking and Internet Architecture · Computer Science 2025-11-13 Céline Comte , Fabien Mathieu , Sushil Mahavir Varma , Ana Bušić

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Social and Information Networks · Computer Science 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

We study the performance of sequential contention resolution and matching algorithms on random graphs with vanishing edge probabilities. When the edges of the graph are processed in an adversarially-chosen order, we derive a new OCRS that…

Data Structures and Algorithms · Computer Science 2024-10-10 Will Ma , Calum MacRury , Pranav Nuti

We study the problem of finding and monitoring fixed-size subgraphs in a continually changing large-scale graph. We present the first approach that (i) performs worst-case optimal computation and communication, (ii) maintains a total memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-13 Khaled Ammar , Frank McSherry , Semih Salihoglu , Manas Joglekar

In this paper, we investigate the problem of (k,r)-core which intends to find cohesive subgraphs on social networks considering both user engagement and similarity perspectives. In particular, we adopt the popular concept of k-core to…

Social and Information Networks · Computer Science 2016-11-11 Fan Zhang , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

We study the problem of sorting under incomplete information, when queries are used to resolve uncertainties. Each of $n$ data items has an unknown value, which is known to lie in a given interval. We can pay a query cost to learn the…

Data Structures and Algorithms · Computer Science 2021-04-16 Magnús M. Halldórsson , Murilo S. de Lima

We consider multi-item exchange markets in which agents want to receive one of their target bundles of resources. The model encompasses well-studied markets for kidney exchange, lung exchange, and multi-organ exchange. We identify a general…

Computer Science and Game Theory · Computer Science 2020-07-10 Haris Aziz

In the design of greedy algorithms for the maximum cardinality matching problem the utilization of degree information when selecting the next edge is a well established and successful approach. We define the class of "degree sensitive"…

Data Structures and Algorithms · Computer Science 2016-12-21 Bert Besser , Bastian Werth

Several modern applications involve huge graphs and require fast answers to reachability queries. In more than two decades since first proposals, several approaches have been presented adopting on-line searches, hop labelling or transitive…

Data Structures and Algorithms · Computer Science 2016-11-09 Nicolas Boria , Gianpiero Cabodi , Paolo Camurati , Marco Palena , Paolo Pasini , Stefano Quer

Graphs are a common model for complex relational data such as social networks and protein interactions, and such data can evolve over time (e.g., new friendships) and be noisy (e.g., unmeasured interactions). Link prediction aims to predict…

Social and Information Networks · Computer Science 2021-07-01 Abhay Singh , Qian Huang , Sijia Linda Huang , Omkar Bhalerao , Horace He , Ser-Nam Lim , Austin R. Benson

Kidney exchange programs among hospitals in the United States and across European countries improve efficiency by pooling donors and patients on a centralized platform. Sustaining such cooperation requires stability. When the core is empty,…

Computer Science and Game Theory · Computer Science 2026-02-12 Gergely Csáji , Thánh Nguyen

Renal patients which have a willing but incompatible donor can decide to participate in a kidney exchange program (KEP). The goal of a KEP is to identify sets of such incompatible pairs that can exchange donors, leading to compatible…

Optimization and Control · Mathematics 2023-02-24 Danny Blom , Christopher Hojny , Bart Smeulders

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

The study of matching theory has gained importance recently with applications in Kidney Exchange, House Allocation, School Choice etc. The general theme of these problems is to allocate goods in a fair manner amongst participating agents.…

Computer Science and Game Theory · Computer Science 2020-02-10 Shyam Chandramouli , Jay Sethuraman

For the classical maximum coverage problem, the greedy algorithm achieves a worst-case $1-1/e$ approximation, which is optimal unless $\text{P} = \text{NP}$. The notion of coverage appears in a wide range of optimization tasks, where…

Data Structures and Algorithms · Computer Science 2026-04-29 Eric Balkanski , Jason Chatzitheodorou , Flore Sentenac

Multiagent systems can use commitments as the core of a general coordination infrastructure, supporting both cooperative and non-cooperative interactions. Agents whose objectives are aligned, and where one agent can help another achieve…

Artificial Intelligence · Computer Science 2020-12-15 Qi Zhang , Edmund H. Durfee , Satinder Singh

The Seat Arrangement Problem is a problem of finding a desirable seat arrangement for given preferences of agents and a seat graph that represents a configuration of seats. In this paper, we consider decision problems of determining if an…

Computer Science and Game Theory · Computer Science 2025-01-14 Sota Kawase , Shuichi Miyazaki

Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles