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Sampling algorithms, hypergraph degree sequences, and polytopes play a crucial role in statistical analysis of network data. This article offers a brief overview of open problems in this area of discrete mathematics from the point of view…

离散数学 · 计算机科学 2016-01-11 Sonja Petrović

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

信息论 · 计算机科学 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

网络与互联网体系结构 · 计算机科学 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

数据结构与算法 · 计算机科学 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

分布式、并行与集群计算 · 计算机科学 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

We study the classical Election problem in anonymous net- works, where solutions can rely on the use of random bits, which may be either shared or unshared among nodes. We provide a complete char- acterization of the conditions under which…

分布式、并行与集群计算 · 计算机科学 2026-03-06 Jérémie Chalopin , Emmanuel Godard

Leader election is one of the basic problems in distributed computing. For anonymous networks, the task of leader election is formulated as follows: every node v of the network must output a simple path, which is coded as a sequence of port…

数据结构与算法 · 计算机科学 2016-04-19 Yoann Dieudonné , Andrzej Pelc

This article presents a theoretical investigation of computation beyond the Turing barrier from emergent behavior in distributed systems. In particular, we present an algorithmic network that is a mathematical model of a networked…

分布式、并行与集群计算 · 计算机科学 2019-10-08 Felipe S. Abrahão , Ítala M. Loffredo D'Ottaviano , Klaus Wehmuth , Francisco Antônio Dória , Artur Ziviani

This paper considers distributed computing on an anonymous quantum network, a network in which no party has a unique identifier and quantum communication and computation are available. It is proved that the leader election problem can…

量子物理 · 物理学 2020-06-24 Hirotada Kobayashi , Keiji Matsumoto , Seiichiro Tani

We introduce the problem of adaptive self-organization in which the nodes of an anonymous, synchronous dynamic network must distributively change the collective distribution of their responses (or "colors") as a function of time-varying…

分布式、并行与集群计算 · 计算机科学 2026-04-30 Garrett Parzych , Joshua J. Daymude

A communication network is said to be "anonymous" if its agents are indistinguishable from each other; it is "dynamic" if its communication links may appear or disappear unpredictably over time. Assuming that each of the $n$ agents of an…

分布式、并行与集群计算 · 计算机科学 2025-08-26 Giuseppe A. Di Luna , Giovanni Viglietta

Motivated by recently discovered privacy attacks on social networks, we study the problem of anonymizing the underlying graph of interactions in a social network. We call a graph (k,l)-anonymous if for every node in the graph there exist at…

数据库 · 计算机科学 2008-11-03 Tomas Feder , Shubha U. Nabar , Evimaria Terzi

This paper considers a distributed multi-agent optimization problem, with the global objective consisting of the sum of local objective functions of the agents. The agents solve the optimization problem using local computation and…

分布式、并行与集群计算 · 计算机科学 2017-11-07 Shripad Gade , Nitin H. Vaidya

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

分布式、并行与集群计算 · 计算机科学 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

分布式、并行与集群计算 · 计算机科学 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

Data aggregation is a fundamental primitive in distributed computing wherein a network computes a function of every nodes' input. However, while compute time is non-negligible in modern systems, standard models of distributed computing do…

数据结构与算法 · 计算机科学 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

This paper introduces a unified computational framework for the anonymization problem in social networks, where the objective is to maximize node anonymity through graph alterations. We define three variants of the underlying optimization…

社会与信息网络 · 计算机科学 2026-04-14 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

In distributed systems, situations often arise where some nodes each holds a collection of tokens, and all nodes collectively need to determine whether all tokens are distinct. For example, if each token represents a logged-in user, the…

分布式、并行与集群计算 · 计算机科学 2024-08-21 Sirui Bai , Xinyu Fu , Xudong Wu , Penghui Yao , Chaodong Zheng

Studying distributed computing through the lens of algebraic topology has been the source of many significant breakthroughs during the last two decades, especially in the design of lower bounds or impossibility results for deterministic…

分布式、并行与集群计算 · 计算机科学 2021-05-26 Pierre Fraigniaud , Ran Gelles , Zvi Lotker

We identify and investigate a computational model arising in molecular computing, social computing and sensor network. The model is made of of multiple agents who are computationally limited and posses no global information. The agents may…

计算复杂性 · 计算机科学 2013-06-19 Elchanan Mossel , Anupam Prakash , Gregory Valiant