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For the vertex selection problem $(\sigma,\rho)$-DomSet one is given two fixed sets $\sigma$ and $\rho$ of integers and the task is to decide whether we can select vertices of the input graph such that, for every selected vertex, the number…

数据结构与算法 · 计算机科学 2025-05-08 Jakob Greilhuber , Philipp Schepper , Philip Wellnitz

Given a vertex-weighted connected graph $G = (V, E)$, the maximum weight internal spanning tree (MwIST for short) problem asks for a spanning tree $T$ of $G$ such that the total weight of the internal vertices in $T$ is maximized. The…

数据结构与算法 · 计算机科学 2017-05-30 Zhi-Zhong Chen , Guohui Lin , Lusheng Wang , Yong Chen , Dan Wang

In the weighted flow-time problem on a single machine, we are given a set of n jobs, where each job has a processing requirement p_j, release date r_j and weight w_j. The goal is to find a preemptive schedule which minimizes the sum of…

数据结构与算法 · 计算机科学 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar

We present a quantum algorithm in bioinformatics for solving the Binary Near-Perfect Phylogeny Problem (BNPP) with a complexity bound of $O(8.926^q + 8^q nm2)$, where n is the number of input taxa and m is the sequence length for each taxon…

量子物理 · 物理学 2025-10-14 Lingfa Meng , David Salvador Novo , Albert H. Werner , Samir Bhatt

In this article, we focus on the critical tasks of plant protection in arable farms, addressing a modern challenge in agriculture: integrating ecological considerations into the operational strategy of precision weeding robots like \bbot.…

机器人学 · 计算机科学 2024-07-08 Alireza Ahmadi , Michael Halstead , Claus Smitt , Chris McCool

The graph invariant EPT-sum has cropped up in several unrelated fields in later years: As an objective function for hierarchical clustering, as a more fine-grained version of the classical edge ranking problem, and, specifically when the…

数据结构与算法 · 计算机科学 2024-07-08 Svein Høgemo

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

数据结构与算法 · 计算机科学 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

Rapidly-exploring random tree (RRT) has been applied for autonomous parking due to quickly solving high-dimensional motion planning and easily reflecting constraints. However, planning time increases by the low probability of extending…

机器人学 · 计算机科学 2022-01-20 Minsoo Kim , Joonwoo Ahn , Jaeheung Park

The Max-Cut problem is a fundamental NP-hard problem, which is attracting attention in the field of quantum computation these days. Regarding the approximation algorithm of the Max-Cut problem, algorithms based on semidefinite programming…

数据结构与算法 · 计算机科学 2022-03-01 Eiichiro Sato

The bandwidth of a $n$-vertex graph $G$ is the smallest integer $b$ such that there exists a bijective function $f : V(G) \rightarrow \{1,...,n\}$, called a layout of $G$, such that for every edge $uv \in E(G)$, $|f(u) - f(v)| \leq b$. In…

数据结构与算法 · 计算机科学 2014-05-01 Markus Sortland Dregi , Daniel Lokshtanov

We study approximation algorithms for the forest cover and bounded forest cover problems. A probabilistic $2+\epsilon$ approximation algorithm for the forest cover problem is given using the method of dual fitting. A deterministic algorithm…

数据结构与算法 · 计算机科学 2024-11-26 Daya Ram Gaur , Barun Gorain , Shaswati Patra , Rishi Ranjan Singh

This paper presents a new approach to selecting knots at the same time as estimating the B-spline regression model. Such simultaneous selection of knots and model is not trivial, but our strategy can make it possible by employing a…

最优化与控制 · 数学 2023-04-06 Shotaro Yagishita , Jun-ya Gotoh

We describe a polynomial-time algorithm which, given a graph $G$ with treewidth $t$, approximates the pathwidth of $G$ to within a ratio of $O(t\sqrt{\log t})$. This is the first algorithm to achieve an $f(t)$-approximation for some…

数据结构与算法 · 计算机科学 2023-03-13 Carla Groenland , Gwenaël Joret , Wojciech Nadara , Bartosz Walczak

We present approximation algorithms for the following NP-hard optimization problems related to bottleneck spanning trees in metric spaces. 1. The disjoint bottleneck spanning tree problem: Given $n$ pairs of points in a metric space, find…

计算几何 · 计算机科学 2021-11-11 Ahmad Biniaz , Anil Maheshwari , Michiel Smid

Network design problems aim to compute low-cost structures such as routes, trees and subgraphs. Often, it is natural and desirable to require that these structures have small hop length or hop diameter. Unfortunately, optimization problems…

数据结构与算法 · 计算机科学 2020-11-13 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

The notion of $\mathcal{H}$-treewidth, where $\mathcal{H}$ is a hereditary graph class, was recently introduced as a generalization of the treewidth of an undirected graph. Roughly speaking, a graph of $\mathcal{H}$-treewidth at most $k$…

数据结构与算法 · 计算机科学 2023-06-30 Bart M. P. Jansen , Jari J. H. de Kroon , Michal Wlodarczyk

In this experimental study we consider Steiner tree approximations that guarantee a constant approximation of ratio smaller than $2$. The considered greedy algorithms and approaches based on linear programming involve the incorporation of…

数据结构与算法 · 计算机科学 2015-12-10 Stephan Beyer , Markus Chimani

The Gradient Boosted Tree (GBT) algorithm is one of the most popular machine learning algorithms used in production, for tasks that include Click-Through Rate (CTR) prediction and learning-to-rank. To deal with the massive datasets…

机器学习 · 计算机科学 2019-05-30 Theodore Vasiloudis , Hyunsu Cho , Henrik Boström

Black box discrete optimization (BBDO) appears in wide range of engineering tasks. Evolutionary or other BBDO approaches have been applied, aiming at automating necessary tuning of system parameters, such as hyper parameter tuning of…

机器学习 · 计算机科学 2018-09-19 Kouhei Nishida , Hernan Aguirre , Shota Saito , Shinichi Shirakawa , Youhei Akimoto

Consider the following toy problem. There are $m$ rectangles and $n$ points on the plane. Each rectangle $R$ is a consumer with budget $B_R$, who is interested in purchasing the cheapest item (point) inside R, given that she has enough…

计算机科学与博弈论 · 计算机科学 2012-07-25 Parinya Chalermsook , Khaled Elbassioni , Danupon Nanongkai , He Sun