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Graph summarization is the problem of producing smaller graph representations of an input graph dataset, in such a way that the smaller compressed graphs capture relevant structural information for downstream tasks. There is a recent graph…

机器学习 · 计算机科学 2023-05-15 Sepideh Neshatfar , Abram Magner , Salimeh Yasaei Sekeh

Extremal optimization is a new general-purpose method for approximating solutions to hard optimization problems. We study the method in detail by way of the NP-hard graph partitioning problem. We discuss the scaling behavior of extremal…

统计力学 · 物理学 2009-11-07 S. Boettcher , A. G. Percus

While graphs and abstract data structures can be large and complex, practical instances are often regular or highly structured. If the instance has sufficient structure, we might hope to compress the object into a more succinct…

计算复杂性 · 计算机科学 2024-12-02 Shreya Gupta , Boyang Huang , Russell Impagliazzo , Stanley Woo , Christopher Ye

Constant-factor, polynomial-time approximation algorithms are presented for two variations of the traveling salesman problem with time windows. In the first variation, the traveling repairman problem, the goal is to find a tour that visits…

数据结构与算法 · 计算机科学 2009-05-28 Greg N. Frederickson , Barry Wittman

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

数据结构与算法 · 计算机科学 2022-08-02 Kevin Y. Chen

Several algorithms have been proposed to compute partitions of networks into communities that score high on a graph clustering index called modularity. While publications on these algorithms typically contain experimental evaluations to…

数据分析、统计与概率 · 物理学 2007-05-23 U. Brandes , D. Delling , M. Gaertler , R. Goerke , M. Hoefer , Z. Nikoloski , D. Wagner

In the highway problem, we are given an n-edge line graph (the highway), and a set of paths (the drivers), each one with its own budget. For a given assignment of edge weights (the tolls), the highway owner collects from each driver the…

数据结构与算法 · 计算机科学 2010-04-20 Fabrizio Grandoni , Thomas Rothvoss

Typical performance of approximation algorithms is studied for randomized minimum vertex cover problems. A wide class of random graph ensembles characterized by an arbitrary degree distribution is discussed with some theoretical frameworks.…

无序系统与神经网络 · 物理学 2016-11-10 Satoshi Takabe , Koji Hukushima

This paper deals with robust optimization applied to network flows. Two robust variants of the minimum-cost integer flow problem are considered. Thereby, uncertainty in problem formulation is limited to arc unit costs and expressed by a…

人工智能 · 计算机科学 2020-02-27 Marko Špoljarec , Robert Manger

A quota mechanism, such as a mandatory grading curve, links together multiple decisions. We analyze the performance of quota mechanisms when the number of linked decisions is finite and the designer has imperfect knowledge of the type…

理论经济学 · 经济学 2026-04-10 Ian Ball , Deniz Kattwinkel

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

最优化与控制 · 数学 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

E-graphs have attracted growing interest in many fields, particularly in logic synthesis and formal verification. E-graph extraction is a challenging NP-hard combinatorial optimization problem. It requires identifying optimal terms from…

人工智能 · 计算机科学 2025-08-26 Jiaqi Yin , Zhan Song , Chen Chen , Yaohui Cai , Zhiru Zhang , Cunxi Yu

In this study, a graph-computing based grid splitting detection algorithm is proposed for contingency analysis in a graph-based EMS (Energy Management System). The graph model of a power system is established by storing its bus-branch…

分布式、并行与集群计算 · 计算机科学 2019-04-09 Yongli Zhu , Lingpeng Shi , Renchang Dai , Guangyi Liu

A new method of solving the power-flow problem, the holomorphically embedded load-flow method (HELM) is theoretically guaranteed to find the high-voltage solution, if one exists, up to the saddle-node bifurcation point (SNBP), provided…

系统与控制 · 计算机科学 2017-08-23 Shruti Rao , Daniel Tylavsky , Weili Yi , Vijay Vittal , Di Shi , Zhiwei Wang

Collaborative vehicle routing occurs when carriers collaborate through sharing their transportation requests and performing transportation requests on behalf of each other. This achieves economies of scale, thus reducing cost, greenhouse…

机器学习 · 计算机科学 2023-10-27 Stephen Mak , Liming Xu , Tim Pearce , Michael Ostroumov , Alexandra Brintrup

In two-stage robust optimization the solution to a problem is built in two stages: In the first stage a partial, not necessarily feasible, solution is exhibited. Then the adversary chooses the "worst" scenario from a predefined set of…

数据结构与算法 · 计算机科学 2010-10-15 Valentin Polishchuk , Mikko Sysikaski

Applications such as megaregional planning require efficient methods for solving traffic assignment problems (TAPs) on large-scale networks. We propose a decomposition heuristic that generates approximate TAP solutions by partitioning the…

最优化与控制 · 数学 2022-06-28 Venktesh Pandey , Priyadarshan N. Patil

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

数值分析 · 数学 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Ride-pooling, which accommodates multiple passenger requests in a single trip, has the potential to significantly increase fleet utilization in shared mobility platforms. The ride-pooling assignment problem finds optimal co-riders to…

最优化与控制 · 数学 2022-04-15 Qi Luo , Viswanath Nagarajan , Alexander Sundt , Yafeng Yin , John Vincent , Mehrdad Shahabi

Vehicular fog computing (VFC) is envisioned as an extension of cloud and mobile edge computing to utilize the rich sensing and processing resources available in vehicles. We focus on slow-moving cars that spend a significant time in urban…

网络与互联网体系结构 · 计算机科学 2021-10-27 Kanika Sharma , Bernard Butler , Brendan Jennings