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We extend the well known bottleneck paths problem in two directions for directed unweighted (unit edge cost) graphs with positive real edge capacities. Firstly we narrow the problem domain and compute the bottleneck of the entire network in…

Data Structures and Algorithms · Computer Science 2013-06-26 Tong-Wook Shinn , Tadao Takaoka

The goal in the stochastic vertex cover problem is to obtain an approximately minimum vertex cover for a graph $G^\star$ that is realized by sampling each edge independently with some probability $p\in (0, 1]$ in a base graph $G = (V, E)$.…

Data Structures and Algorithms · Computer Science 2026-03-31 Jan van den Brand , Inge Li Gørtz , Chirag Pabbaraju , Debmalya Panigrahi , Clifford Stein , Miltiadis Stouras , Ola Svensson , Ali Vakilian

A bottleneck plane perfect matching of a set of $n$ points in $\mathbb{R}^2$ is defined to be a perfect non-crossing matching that minimizes the length of the longest edge; the length of this longest edge is known as {\em bottleneck}. The…

Computational Geometry · Computer Science 2015-08-25 A. Karim Abu-Affash , Ahmad Biniaz , Paz Carmi , Anil Maheshwari , Michiel Smid

The online dominating set problem is an online variant of the minimum dominating set problem, which is one of the most important NP-hard problems on graphs. This problem is defined as follows: Given an undirected graph $G = (V, E)$, in…

Data Structures and Algorithms · Computer Science 2017-11-01 Koji M. Kobayashi

In this paper we show that the problem of identifying an edge $(i,j)$ in a graph $G$ such that there exists an optimal vertex cover $S$ of $G$ containing exactly one of the nodes $i$ and $j$ is NP-hard. Such an edge is called a weak edge.…

Data Structures and Algorithms · Computer Science 2007-12-21 Qiaoming Han , Abraham P. Punnen

Coupling cellular communication networks with vehicular ad hoc networks (VANET) can be a very interesting way out for providing Internet access to vehicles in the road. However, due to the several specific characteristics of VANETs, making…

Networking and Internet Architecture · Computer Science 2024-02-05 Driss Abada , Rachid Adrdor , Omar Boutkhoum , Adil Bouhouch

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh

We study budget constrained network upgradeable problems. We are given an undirected edge weighted graph $G=(V,E)$ where the weight an edge $e \in E$ can be upgraded for a cost $c(e)$. Given a budget $B$ for improvement, the goal is to find…

Data Structures and Algorithms · Computer Science 2014-12-12 Debjyoti Saharoy , Sandeep Sen

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

This paper considers a setting where embedded devices are used to acquire and classify images. Because of limited computing capacity, embedded devices rely on a parsimonious classification model with uneven accuracy. When local…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-02 Jiaming Qiu , Ruiqi Wang , Ayan Chakrabarti , Roch Guerin , Chenyang Lu

We study the problem of extracting a selective connector for a given set of query vertices $Q \subseteq V$ in a graph $G = (V,E)$. A selective connector is a subgraph of $G$ which exhibits some cohesiveness property, and contains the query…

Social and Information Networks · Computer Science 2017-09-06 Natali Ruchansky , Francesco Bonchi , David Garcia-Soriano , Francesco Gullo , Nicolas Kourtellis

We present a theoretical and empirical analysis of the adaptive entry point selection for graph-based approximate nearest neighbor search (ANNS). We introduce novel concepts: $b\textit{-monotonic path}$ and $B\textit{-MSNET}$, which better…

Information Retrieval · Computer Science 2024-02-08 Yutaro Oguri , Yusuke Matsui

We examine the possibility of approximating Maximum Vertex-Disjoint Shortest Paths. In this problem, the input is an edge-weighted (directed or undirected) $n$-vertex graph $G$ along with $k$ terminal pairs…

Data Structures and Algorithms · Computer Science 2025-04-23 Matthias Bentert , Fedor V. Fomin , Petr A. Golovach

Learning with hidden variables is a central challenge in probabilistic graphical models that has important implications for many real-life problems. The classical approach is using the Expectation Maximization (EM) algorithm. This…

Machine Learning · Computer Science 2012-12-12 Gal Elidan , Nir Friedman

With the rapid advancement of Intelligent Transportation Systems (ITS) and vehicular communications, Vehicular Edge Computing (VEC) is emerging as a promising technology to support low-latency ITS applications and services. In this paper,…

Networking and Internet Architecture · Computer Science 2023-03-16 Arash Bozorgchenani , Setareh Maghsudi , Daniele Tarchi , Ekram Hossain

Mobile edge computing (MEC) is a promising technique for providing low-latency access to services at the network edge. The services are hosted at various types of edge nodes with both computation and communication capabilities. Due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Stephen Pasteris , Shiqiang Wang , Mark Herbster , Ting He

To deploy machine learning-based algorithms for real-time applications with strict latency constraints, we consider an edge-computing setting where a subset of inputs are offloaded to the edge for processing by an accurate but…

Machine Learning · Computer Science 2020-11-09 Ayan Chakrabarti , Roch Guérin , Chenyang Lu , Jiangnan Liu

Finding shortest paths in a given network (e.g., a computer network or a road network) is a well-studied task with many applications. We consider this task under the presence of an adversary, who can manipulate the network by perturbing its…

Social and Information Networks · Computer Science 2021-07-08 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

Chv\'{a}tal and Klincsek (1980) gave an $O(n^3)$-time algorithm for the problem of finding a maximum-cardinality convex subset of an arbitrary given set $P$ of $n$ points in the plane. This paper examines a generalization of the problem,…

Computational Geometry · Computer Science 2021-08-31 Stephane Durocher , J. Mark Keil , Saeed Mehrabi , Debajyoti Mondal

We study the minimum vertex cover problem in the following stochastic setting. Let $G$ be an arbitrary given graph, $p \in (0, 1]$ a parameter of the problem, and let $G_p$ be a random subgraph that includes each edge of $G$ independently…

Data Structures and Algorithms · Computer Science 2021-12-13 Soheil Behnezhad , Avrim Blum , Mahsa Derakhshan