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With the proliferation of mobile technology and IT development, people can use social network services at any place and anytime. Among many social network mining problems, identifying cohesive subgraphs attract many attentions from…

Social and Information Networks · Computer Science 2023-04-05 Junghoon Kim , Sungsu Lim , Jungeun Kim

Consensus is a most fundamental task in distributed computing. This paper studies the consensus problem for a set of processes connected by a dynamic directed network, in which computation and communication is lock-step synchronous but…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-28 Ami Paz , Hugo Rincon Galeana , Stefan Schmid , Ulrich Schmid , Kyrill Winkler

By prior work, it is known that any distributed graph algorithm that finds a maximal matching requires $\Omega(\log^* n)$ communication rounds, while it is possible to find a maximal fractional matching in $O(1)$ rounds in bounded-degree…

Data Structures and Algorithms · Computer Science 2023-07-18 Sameep Dahal , Jukka Suomela

The problem of identifying the k-shortest paths (KSPs for short) in a dynamic road network is essential to many location-based services. Road networks are dynamic in the sense that the weights of the edges in the corresponding graph…

Databases · Computer Science 2022-05-16 Ziqiang Yu , Xiaohui Yu , Nick Koudas , Yang Liu , Yifan Li , Yueting Chen , Dingyu Yang

Dynamic programming is a powerful technique that is, unfortunately, often inherently sequential. That is, there exists no unified method to parallelize algorithms that use dynamic programming. In this paper, we attempt to address this issue…

Data Structures and Algorithms · Computer Science 2018-09-18 MohammadHossein Bateni , Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Vahab Mirrokni

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

Data Structures and Algorithms · Computer Science 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

The vertex coloring problem has received a lot of attention in the context of synchronous round-based systems where, at each round, a process can send a message to all its neighbors, and receive a message from each of them. Hence, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Hicham Lakhlef , Michel Raynal , François Taïani

The CAP theorem asserts a trilemma between consistency, availability, and partition tolerance. This paper introduces a rigorous automata-theoretic and economically grounded framework that reframes the CAP trade-off as a constraint…

Computer Science and Game Theory · Computer Science 2025-07-04 Craig S Wright

In this paper we consider a class of interacting particle systems on dynamic random networks, in which the joint dynamics of vertices and edges acts as one-way feedback, i.e., edges appear and disappear over time depending on the state of…

Probability · Mathematics 2025-11-06 Simone Baldassarri , Jiesen Wang

We investigate the dynamic formation of regular random graphs. In our model, we pick a pair of nodes at random and connect them with a link if both of their degrees are smaller than d. Starting with a set of isolated nodes, we repeat this…

Statistical Mechanics · Physics 2011-11-16 E. Ben-Naim , P. L. Krapivsky

We consider a problem where multiple agents must learn an action profile that maximises the sum of their utilities in a distributed manner. The agents are assumed to have no knowledge of either the utility functions or the actions and…

Systems and Control · Computer Science 2016-03-31 Chithrupa Ramesh , Marius Schmitt , John Lygeros

This paper considers the problem of solving a symmetric positive definite system of linear equations over a network of agents with arbitrary asynchronous interactions and membership dynamics. The latter implies that each agent is allowed to…

Systems and Control · Computer Science 2016-06-14 Jie Lu , Choon Yik Tang

The semi-random graph process is a single player game in which the player is initially presented an empty graph on $n$ vertices. In each round, a vertex $u$ is presented to the player independently and uniformly at random. The player then…

Combinatorics · Mathematics 2022-02-21 Pu Gao , Calum MacRury , Pawel Pralat

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We study graph realization problems from a distributed perspective and we study it in the node capacitated clique (NCC) model of distributed computing, recently introduced for representing peer-to-peer networks. We focus on two central…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 John Augustine , Keerti Choudhary , Avi Cohen , David Peleg , Sumathi Sivasubramaniam , Suman Sourav

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of computer networks, is the problem of partitioning a given…

Computational Complexity · Computer Science 2016-08-16 Tobias Riege , Jörg Rothe

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

Two kinds of approximation algorithms exist for the k-BALANCED PARTITIONING problem: those that are fast but compute unsatisfying approximation ratios, and those that guarantee high quality ratios but are slow. In this paper we prove that…

Computational Complexity · Computer Science 2019-04-29 Andreas Emil Feldmann

Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into…

Physics and Society · Physics 2021-04-29 Felipe Xavier Costa , Pedro Pessoa