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Structural balance theory studies stability in networks. Given a $n$-vertex complete graph $G=(V,E)$ whose edges are labeled positive or negative, the graph is considered \emph{balanced} if every triangle either consists of three positive…

Data Structures and Algorithms · Computer Science 2023-06-02 Vikrant Ashvinkumar , Sepehr Assadi , Chengyuan Deng , Jie Gao , Chen Wang

Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Load balancing is the process of improving the Performance of a parallel and distributed system through is distribution of load among the processors [1-2]. Most of the previous work in load balancing and distributed decision making in…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-10-05 Abbas Karimi , Faraneh Zarafshan , Adznan. b. Jantan , A. R Ramli , M. Iqbal b. Saripan

Distributed processing across a networked environment suffers from unpredictable behavior of speedup due to heterogeneous nature of the hardware and software in the remote machines. It is challenging to get a better performance from a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-31 M. Shahriar Hossain , M. Muztaba Fuad , Debzani Deb , Kazi Muhammad Najmul Hasan Khan , Md. Mahbubul Alam Joarder

Parallel applications with irregular and time-varying workloads often suffer from load imbalance. Dynamic load balancing techniques address this challenge by redistributing work during execution. We present a new type of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-25 Maya Taylor , Kavitha Chandrasekar , Laxmikant V. Kale

The coflow scheduling problem has emerged as a popular abstraction in the last few years to study data communication problems within a data center. In this basic framework, each coflow has a set of communication demands and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Mosharaf Chowdhury , Samir Khuller , Manish Purohit , Sheng Yang , Jie You

In a computing center with a huge amount of machines, when a job arrives, a dispatcher need to decide which machine to route this job to based on limited information. A classical method, called the power-of-$d$ choices algorithm is to pick…

Probability · Mathematics 2024-12-20 Dengwang Tang , Vijay G. Subramanian

Motivated by application in wireless networks, cloud computing, data centers etc, Stochastic Processing Networks have been studied in the literature under various asymptotic regimes. In the heavy-traffic regime, the steady state mean queue…

Probability · Mathematics 2020-03-18 Daniela Hurtado-Lange , Sushil Mahavir Varma , Siva Theja Maguluri

We investigate the tractability of a simple fusion of two fundamental structures on graphs, a spanning tree and a perfect matching. Specifically, we consider the following problem: given an edge-weighted graph, find a minimum-weight…

Data Structures and Algorithms · Computer Science 2024-07-12 Kristóf Bérczi , Tamás Király , Yusuke Kobayashi , Yutaro Yamaguchi , Yu Yokoi

Load balancing between adjacent base stations (BSs) is important for balancing load distributions and improving service provisioning. Whilst load balancing between any given pair of BSs is beneficial, cascade load sharing can cause network…

Networking and Internet Architecture · Computer Science 2019-02-27 Giannis Moutsinas , Weisi Guo

In the classical balls-and-bins paradigm, where $n$ balls are placed independently and uniformly in $n$ bins, typically the number of bins with at least two balls in them is $\Theta(n)$ and the maximum number of balls in a bin is…

Combinatorics · Mathematics 2010-10-22 Noga Alon , Ori Gurel-Gurevich , Eyal Lubetzky

We apply statistical physics to study the task of resource allocation in random sparse networks with limited bandwidths for the transportation of resources along the links. Useful algorithms are obtained from recursive relations.…

Physics and Society · Physics 2009-11-13 C. H. Yeung , K. Y. Michael Wong

Every robotic network cloud system can be seen as a graph with nodes as hardware with independent computational processing powers and edges as data transmissions between nodes. When assigning a task to a node we may change several values…

Robotics · Computer Science 2021-04-27 Saeid Alirezazadeh , Luís A. Alexandre

In this paper, we derive and investigate approaches to dynamically load balance a distributed task parallel application software. The load balancing strategy is based on task migration. Busy processes export parts of their ready task queue…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Afshin Zafari , Elisabeth Larsson

Carefully balancing load in distributed stream processing systems has a fundamental impact on execution latency and throughput. Load balancing is challenging because real-world workloads are skewed: some tuples in the stream are associated…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-28 Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Nicolas Kourtellis , Marco Serafini

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

Let $\{G_i\}$ be the random graph process: starting with an empty graph $G_0$ with $n$ vertices, in every step $i \geq 1$ the graph $G_i$ is formed by taking an edge chosen uniformly at random among the non-existing ones and adding it to…

Combinatorics · Mathematics 2018-08-31 Rajko Nenadov , Angelika Steger , Miloš Trujić

Consider a random bipartite multigraph $G$ with $n$ left nodes and $m \geq n \geq 2$ right nodes. Each left node $x$ has $d_x \geq 1$ random right neighbors. The average left degree $\Delta$ is fixed, $\Delta \geq 2$. We ask whether for the…

Discrete Mathematics · Computer Science 2012-04-30 Martin Dietzfelbinger , Michael Rink

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Distributed quantized weight-balancing and average consensus over fixed digraphs are considered. A digraph with non-negative weights associated to its edges is weight-balanced if, for each node, the sum of the weights of its out-going edges…

Optimization and Control · Mathematics 2018-09-19 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari