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This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

最优化与控制 · 数学 2018-06-20 Van Sy Mai , Eyad H. Abed

The maximum independent set problem is a classic optimization problem that has also been studied quite intensively in the distributed setting. While the problem is hard to approximate in general, there are good approximation algorithms…

数据结构与算法 · 计算机科学 2025-06-13 Salwa Faour , Fabian Kuhn

We study the parameterized complexity of the directed variant of the classical {\sc Steiner Tree} problem on various classes of directed sparse graphs. While the parameterized complexity of {\sc Steiner Tree} parameterized by the number of…

数据结构与算法 · 计算机科学 2012-10-02 Mark Jones , Daniel Lokshtanov , M. S. Ramanujan , Saket Saurabh , Ondřej Suchý

The Sparsest Cut is a fundamental optimization problem that has been extensively studied. For planar inputs the problem is in $P$ and can be solved in $\tilde{O}(n^3)$ time if all vertex weights are $1$. Despite a significant amount of…

数据结构与算法 · 计算机科学 2020-07-07 Amir Abboud , Vincent Cohen-Addad , Philip N. Klein

Constraint satisfaction problem (CSP) is a well-studied combinatorial search problem, in which we are asked to find an assignment of values to given variables so as to satisfy all of given constraints. We study a reconfiguration variant of…

数据结构与算法 · 计算机科学 2018-12-31 Tatsuhiko Hatanaka , Takehiro Ito , Xiao Zhou

In the restricted shortest paths problem, we are given a graph $G$ whose edges are assigned two non-negative weights: lengths and delays, a source $s$, and a delay threshold $D$. The goal is to find, for each target $t$, the length of the…

数据结构与算法 · 计算机科学 2024-10-23 Vikrant Ashvinkumar , Aaron Bernstein , Adam Karczmarz

A Constraint Satisfaction Problem (CSP) is a computational problem where we are given variables and constraints about them; the question is whether the variables can be assigned values such that all constraints are satisfied. We give an…

计算机科学中的逻辑 · 计算机科学 2022-04-01 Michael Pinsker

Given a directed graph $G$ with arbitrary real-valued weights, the single source shortest-path problem (SSSP) asks for, given a source $s$ in $G$, finding a shortest path from $s$ to each vertex $v$ in $G$. A classical SSSP algorithm…

数据结构与算法 · 计算机科学 2019-03-06 Sanjiang Li , Yongming Li

We introduce the Multicolored Graph Realization problem (MGRP). The input to the problem is a colored graph $(G,\varphi)$, i.e., a graph together with a coloring on its vertices. We can associate to each colored graph a cluster graph…

计算复杂性 · 计算机科学 2021-03-25 Josep Díaz , Öznur Yaşar Diner , Maria Serna , Oriol Serra

We consider the problem of query-efficient global max-cut on a weighted undirected graph in the value oracle model examined by [RSW18]. Graph algorithms in this cut query model and other query models have recently been studied for various…

数据结构与算法 · 计算机科学 2024-04-24 Orestis Plevrakis , Seyoon Ragavan , S. Matthew Weinberg

Constraint Satisfaction Problem (CSP) is a fundamental algorithmic problem that appears in many areas of Computer Science. It can be equivalently stated as computing a homomorphism $\mbox{$\bR \rightarrow \bGamma$}$ between two relational…

计算复杂性 · 计算机科学 2015-10-27 Vladimir Kolmogorov , Michal Rolinek , Rustem Takhanov

Given a directed, weighted graph $G=(V,E)$ undergoing edge insertions, the incremental single-source shortest paths (SSSP) problem asks for the maintenance of approximate distances from a dedicated source $s$ while optimizing the total time…

数据结构与算法 · 计算机科学 2021-10-25 Rasmus Kyng , Simon Meierhans , Maximilian Probst Gutenberg

The (\textsc{Weighted}) \textsc{Subset Feedback Vertex Set} problem is a generalization of the classical \textsc{Feedback Vertex Set} problem and asks for a vertex set of minimum (weighted) size that intersects all cycles containing a…

数据结构与算法 · 计算机科学 2018-05-21 Charis Papadopoulos , Spyridon Tzimas

We introduce a problem class we call Polynomial Constraint Satisfaction Problems, or PCSP. Where the usual CSPs from computer science and optimization have real-valued score functions, and partition functions from physics have monomials,…

离散数学 · 计算机科学 2010-01-14 Alexander D. Scott , Gregory B. Sorkin

Kernelization is an important tool in parameterized algorithmics. Given an input instance accompanied by a parameter, the goal is to compute in polynomial time an equivalent instance of the same problem such that the size of the reduced…

计算复杂性 · 计算机科学 2018-10-23 Till Fluschnik , George B. Mertzios , André Nichterlein

A quadratic minimum spanning tree (QMST) problem is to determine a minimum spanning tree of a connected graph having edges which are associated with linear and quadratic weights. The linear weights are the edge costs which are associated…

最优化与控制 · 数学 2017-12-14 Saibal Majumder , Samarjit Kar , Tandra Pal

We study the power of the bounded-width consistency algorithm in the context of the fixed-template Promise Constraint Satisfaction Problem (PCSP). Our main technical finding is that the template of every PCSP that is solvable in bounded…

计算复杂性 · 计算机科学 2021-07-14 Albert Atserias , Víctor Dalmau

In this study we consider the shortest path problem, where the arc costs are subject to distributional uncertainty. Basically, the decision-maker attempts to minimize her worst-case expected loss over an ambiguity set (or a family) of…

最优化与控制 · 数学 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

Exact solution of hard combinatorial optimization problems often relies on strong convex relaxations, but solving these relaxations repeatedly inside a branch-and-bound algorithm can be prohibitively expensive. Hence, we consider this…

机器学习 · 计算机科学 2026-05-11 Hao Chen , Chendi Qian , Christopher Morris , Andrea Lodi , Can Li

We study the Stochastic Shortest Path (SSP) problem for autonomous systems with mixed max-sum cost aggregations under Linear Temporal Logic constraints. Classical SSP formulations rely on sum-aggregated costs, which are suitable for…

系统与控制 · 电气工程与系统科学 2025-12-16 Zhiquan Zhang , Omar Muhammetkulyyev , Tichakorn Wongpiromsarn , Melkior Ornik