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A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

组合数学 · 数学 2014-01-16 Daniel C. McDonald

Viral spread on large graphs has many real-life applications such as malware propagation in computer networks and rumor (or misinformation) spread in Twitter-like online social networks. Although viral spread on large graphs has been…

概率论 · 数学 2013-10-09 Milan Bradonjić , Michael Molloy , Guanhua Yan

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

The study of SIS epidemics on networks has stressed the role of the network topology on the spreading process. However, accurate models of SIS epidemics rely on the complete knowledge of the network topology, which is often not available.…

物理与社会 · 物理学 2017-08-08 Aram Vajdi , Caterina Scoglioy

This paper presents a non-cooperative source localization approach based on received signal strength (RSS) and 2D environment map, considering both line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. Conventional localization…

信号处理 · 电气工程与系统科学 2025-06-11 Hao Sun , Weiming Huang , Xianghao Yu , Junting Chen

Risk classification plays an important role in many regulations and standards. However, a general method that provides an optimal classification has not been proposed yet. Also, the criteria of optimality are not defined in these…

离散数学 · 计算机科学 2020-12-29 Daniel Zentai

A problem closely related to epidemiology, where a subgraph of 'infected' links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link…

物理与社会 · 物理学 2016-04-07 M Cotacallapa , M O Hase

We propose a similarity-based method, using the similarity between nodes, to address the problem of classification in partially labeled networks. The basic assumption is that two nodes are more likely to be categorized into the same class…

数据分析、统计与概率 · 物理学 2010-10-05 Qian-Ming Zhang , Ming-Sheng Shang , Linyuan Lu

We present a general framework for adaptive allocation of viral tests in social contact networks. We pose and solve several complementary problems. First, we consider the design of a social sensing system whose objective is the early…

社会与信息网络 · 计算机科学 2020-11-05 Pau Batlle , Joan Bruna , Carlos Fernandez-Granda , Victor M. Preciado

Consider an asynchronous system consisting of processes that communicate via message-passing. The processes communicate over a potentially {\em incomplete} communication network consisting of reliable bidirectional communication channels.…

分布式、并行与集群计算 · 计算机科学 2016-06-21 Nitin H. Vaidya , Sandeep S. Kulkarni

Graph coloring, also known as vertex coloring, considers the problem of assigning colors to the nodes of a graph such that adjacent nodes do not share the same color. The optimization version of the problem concerns the minimization of the…

人工智能 · 计算机科学 2010-11-25 Hugo Hernández , Christian Blum

We investigate the problem of sequentially predicting the binary labels on the nodes of an arbitrary weighted graph. We show that, under a suitable parametrization of the problem, the optimal number of prediction mistakes can be…

机器学习 · 计算机科学 2012-12-27 Nicolo' Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Predictive contagion models are ubiquitous in epidemiology, social sciences, engineering, and management. This paper formulates a prescriptive contagion analytics model where a decision-maker allocates shared resources across multiple…

最优化与控制 · 数学 2023-10-24 Alexandre Jacquillat , Michael Lingzhi Li , Martin Ramé , Kai Wang

When dealing with large graphs, such as those that arise in the context of online social networks, a subset of nodes may be labeled. These labels can indicate demographic values, interest, beliefs or other characteristics of the nodes…

社会与信息网络 · 计算机科学 2015-05-27 Smriti Bhagat , Graham Cormode , S. Muthukrishnan

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

组合数学 · 数学 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

Analyzing large graph data is an essential part of many modern applications, such as social networks. Due to its large computational complexity, distributed processing is frequently employed. This requires graph data to be divided across…

分布式、并行与集群计算 · 计算机科学 2022-09-12 YoungJoon Park , DongKyu Lee , Tien-Cuong Bui

Protein subcellular localization is an important factor in normal cellular processes and disease. While many protein localization resources treat it as static, protein localization is dynamic and heavily influenced by biological context.…

分子网络 · 定量生物学 2022-12-13 Chris S. Magnano , Anthony Gitter

Monitoring machine learning (ML) systems is hard, with standard practice focusing on detecting distribution shifts rather than their causes. Root-cause analysis often relies on manual tracing to determine whether a shift is caused by…

软件工程 · 计算机科学 2025-10-28 Joran Leest , Ilias Gerostathopoulos , Patricia Lago , Claudia Raibulet

Random walk can be used as a centrality measure of a directed graph. However, if the graph is reducible the random walk will be absorbed in some subset of nodes and will never visit the rest of the graph. In Google PageRank the problem was…

网络与互联网体系结构 · 计算机科学 2009-04-17 Konstantin Avrachenkov , Vivek Borkar , Danil Nemirovsky

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

社会与信息网络 · 计算机科学 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti