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Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

Machine Learning · Statistics 2016-12-21 Brian Baingana , Georgios B. Giannakis

Loop nesting forests (LNFs) are a fundamental abstraction for reasoning about control-flow structure, enabling applications such as compiler optimizations, program analysis, and dominator computation. While efficient static algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-16 Gregory Morse , Tamás Kozsik

A fundamental problem in wireless networks is the \emph{minimum spanning tree} (MST) problem: given a set $V$ of wireless nodes, compute a spanning tree $T$, so that the total cost of $T$ is minimized. In recent years, there has been a lot…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-07 Maleq Khan , V. S. Anil Kumar , Gopal Pandurangan , Guanhong Pei

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

Computational Physics · Physics 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

In large-scale distributed environments, avoiding concurrent access to the same resource by multiple processes becomes a core challenge, commonly termed distributed mutual exclusion (DME). Token-based mechanisms have long been recognized as…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Elahe Tohidi , Seyed Sattar Lotfi Fatemi

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Message broadcasting in networks could be carried over spanning trees. A set of spanning trees in the same network is node independent if two conditions are satisfied. First, all trees are rooted at node $r$. Second, for every node $u$ in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-04 Zaid Hussain , Bader AlBdaiwi , Anton Cerny

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

We examine an interacting particle system on trees commonly referred to as the frog model. For its initial state, it begins with a single active particle at the root and i.i.d. $\mathrm{Poiss}(\lambda)$ many inactive particles at each…

Probability · Mathematics 2019-10-14 Marcus Michelen , Josh Rosenberg

This paper is centered on the random graph generated by a Doeblin-type coupling of discrete time processes on a countable state space whereby when two paths meet, they merge. This random graph is studied through a novel subgraph, called a…

Probability · Mathematics 2018-11-27 François Baccelli , Mir-Omid Haji-Mirsadeghi , James T. Murphy

We focus on the problem of performing random walks efficiently in a distributed network. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain a random walk sample. We first present a fast sublinear…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-03 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

We study the problem of low-stretch spanning trees in graphs of bounded width: bandwidth, cutwidth, and treewidth. We show that any simple connected graph $G$ with a linear arrangement of bandwidth $b$ can be embedded into a distribution…

Data Structures and Algorithms · Computer Science 2020-04-20 Glencora Borradaile , Erin Wolf Chambers , David Eppstein , William Maxwell , Amir Nayyeri

This paper focuses on the multi-agent synchronization problem with an open-loop unstable leader and followers under the switching topologies. For this issue, the typical approach is intermittent communication (including a spanning tree…

Dynamical Systems · Mathematics 2026-04-28 Haotian Xu , Bohui Wang , Shuai Liu , Chao Shen , Xiangyu Meng , Guanghui Wen

This paper proposes an accelerated consensus-based distributed iterative algorithm for resource allocation and scheduling. The proposed gradient-tracking algorithm introduces an auxiliary variable to add momentum towards the optimal state.…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

Network embeddings learn to represent nodes as low-dimensional vectors to preserve the proximity between nodes and communities of the network for network analysis. The temporal edges (e.g., relationships, contacts, and emails) in dynamic…

Social and Information Networks · Computer Science 2019-06-25 Chuanchang Chen , Yubo Tao , Hai Lin

Probabilistic distributions over spanning trees in directed graphs are a fundamental model of dependency structure in natural language processing, syntactic dependency trees. In NLP, dependency trees often have an additional root…

Computation and Language · Computer Science 2022-07-11 Ran Zmigrod , Tim Vieira , Ryan Cotterell

Nodes in route-restricted overlays have an immutable set of neighbors, explicitly specified by their users. Popular examples include payment networks such as the Lightning network as well as social overlays such as the Dark Freenet. Routing…

Cryptography and Security · Computer Science 2019-08-12 Martin Byrenheid , Stefanie Roos , Thorsten Strufe

We present algorithms for distributed verification and silent-stabilization of a DFS(Depth First Search) spanning tree of a connected network. Computing and maintaining such a DFS tree is an important task, e.g., for constructing efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-19 Shay Kutten , Chhaya Trehan

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman