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We consider the maximum vertex-weighted matching problem (MVM), in which non-negative weights are assigned to the vertices of a graph, the weight of a matching is the sum of the weights of the matched vertices, and we are required to…

数据结构与算法 · 计算机科学 2018-10-12 Florin Dobrian , Mahantesh Halappanavar , Alex Pothen , Ahmed Al-Herz

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

机器学习 · 计算机科学 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

In this paper we study the problem of maintaining the strongly connected components of a graph in the presence of failures. In particular, we show that given a directed graph $G=(V,E)$ with $n=|V|$ and $m=|E|$, and an integer value $k\geq…

数据结构与算法 · 计算机科学 2017-04-25 Surender Baswana , Keerti Choudhary , Liam Roditty

We propose a novel method for large-scale image stitching that is robust against repetitive patterns and featureless regions in the imagery. In such cases, state-of-the-art image stitching methods easily produce image alignment artifacts,…

计算机视觉与模式识别 · 计算机科学 2021-07-29 Matti Pellikka , Valtteri Lahtinen

Arising from structural graph theory, treewidth has become a focus of study in fixed-parameter tractable algorithms in various communities including combinatorics, integer-linear programming, and numerical analysis. Many NP-hard problems…

数据结构与算法 · 计算机科学 2023-09-14 Sally Dong , Yin Tat Lee , Guanghao Ye

Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

数据结构与算法 · 计算机科学 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo

Finding a maximum-cardinality or maximum-weight matching in (edge-weighted) undirected graphs is among the most prominent problems of algorithmic graph theory. For $n$-vertex and $m$-edge graphs, the best known algorithms run in…

数据结构与算法 · 计算机科学 2021-05-10 Tomohiro Koana , Viatcheslav Korenwein , André Nichterlein , Rolf Niedermeier , Philipp Zschoche

Restricted Boltzmann Machines (RBMs) are widely used probabilistic undirected graphical models with visible and latent nodes, playing an important role in statistics and machine learning. The task of structure learning for RBMs involves…

量子物理 · 物理学 2023-09-26 Liming Zhao , Aman Agrawal , Patrick Rebentrost

Two new algorithms are described for matching two dimensional coordinate lists of point sources that are signifcantly faster than previous methods. By matching rarely occurring triangles (or more complex shapes) in the two lists, and by…

天体物理学 · 物理学 2009-11-13 V. Tabur

We study the stable matching problem in non-bipartite graphs with incomplete but strict preference lists, where the edges have weights and the goal is to compute a stable matching of minimum or maximum weight. This problem is known to be…

计算机科学与博弈论 · 计算机科学 2017-03-28 Linda Farczadi , Natália Guričanová

This paper studies a multi-armed bandit (MAB) version of the range-searching problem. In its basic form, range searching considers as input a set of points (on the real line) and a collection of (real) intervals. Here, with each specified…

机器学习 · 计算机科学 2021-05-05 Siddharth Barman , Ramakrishnan Krishnamurthy , Saladi Rahul

Finding optimal matchings in dense graphs is of general interest and of particular importance in social, transportation and biological networks. While developing optimal solutions for various matching problems is important, the running…

数据结构与算法 · 计算机科学 2020-11-16 Nitish K. Panigrahy , Prithwish Basu , Don Towsley

We propose an effective and flexible way to implement 2D and 3D elastoplastic problems in MATLAB using fully vectorized codes. Our technique is applied to a broad class of the problems including perfect plasticity or plasticity with…

数值分析 · 数学 2018-09-07 Martin Čermák , Stanislav Sysala , Jan Valdman

Betweenness Centrality (BC) is an important measure used widely in complex network analysis, such as social network, web page search, etc. Computing the exact BC values is highly time consuming. Currently the fastest exact BC determining…

社会与信息网络 · 计算机科学 2017-12-21 Shiyu Ji , Zenghui Yan

Reconfigurable optical topologies promise to improve the performance in datacenters by dynamically optimizing the physical network in a demand-aware manner. State-of-the-art optical technologies allow to establish and update direct…

数据结构与算法 · 计算机科学 2023-01-18 Kathrin Hanauer , Monika Henzinger , Stefan Schmid , Jonathan Trummer

We consider problems to make a given bidirected graph strongly connected with minimum cardinality of additional signs or additional arcs. For the former problem, we show the minimum number of additional signs and give a linear-time…

离散数学 · 计算机科学 2017-09-05 Tatsuya Matsuoka , Shun Sato

Recent work by Elmasry et al. (STACS 2015) and Asano et al. (ISAAC 2014), reconsidered classical fundamental graph algorithms focusing on improving the space complexity. We continue this line of work focusing on space. Our first result is a…

数据结构与算法 · 计算机科学 2017-07-28 Niranka Banerjee , Sankardeep Chakraborty , Venkatesh Raman , Srinivasa Rao Satti

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

社会与信息网络 · 计算机科学 2026-04-29 Alexander Kolpakov , Igor Rivin

We describe optimal robust algorithms for finding a triangle and the unweighted girth in a unit disk graph, as well as finding a triangle in a transmission graph.In the robust setting, the input is not given as a set of sites in the plane,…

计算几何 · 计算机科学 2024-05-03 Katharina Klost , Wolfgang Mulzer

$\renewcommand{\Re}{\mathbb{R}}$ We develop a general randomized technique for solving "implic it" linear programming problems, where the collection of constraints are defined implicitly by an underlying ground set of elements. In many…

计算几何 · 计算机科学 2021-12-24 Timothy M. Chan , Sariel Har-Peled , Mitchell Jones