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A semi-streaming algorithm in dynamic graph streams processes any $n$-vertex graph by making one or multiple passes over a stream of insertions and deletions to edges of the graph and using $O(n \cdot \mbox{polylog}(n))$ space.…

Data Structures and Algorithms · Computer Science 2024-07-31 Sepehr Assadi , Soheil Behnezhad , Christian Konrad , Kheeran K. Naidu , Janani Sundaresan

This paper considers the problem of maintaining statistic aggregates over the last W elements of a data stream. First, the problem of counting the number of 1's in the last W bits of a binary stream is considered. A lower bound of…

Data Structures and Algorithms · Computer Science 2016-04-12 Ran Ben Basat , Gil Einziger , Roy Friedman , Yaron Kassner

We present an $\tilde O(m+n^{1.5})$-time randomized algorithm for maximum cardinality bipartite matching and related problems (e.g. transshipment, negative-weight shortest paths, and optimal transport) on $m$-edge, $n$-node graphs. For…

Data Structures and Algorithms · Computer Science 2021-10-15 Jan van den Brand , Yin-Tat Lee , Danupon Nanongkai , Richard Peng , Thatchaphol Saranurak , Aaron Sidford , Zhao Song , Di Wang

In this paper, we consider hybrid beamforming designs for multiuser massive multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems. Aiming at maximizing the weighted spectral efficiency, we propose…

Signal Processing · Electrical Eng. & Systems 2019-07-30 Jingbo Du , Wei Xu , Chunming Zhao , Luc Vandendorpe

We present an efficient algorithm for the min-max correlation clustering problem. The input is a complete graph where edges are labeled as either positive $(+)$ or negative $(-)$, and the objective is to find a clustering that minimizes the…

Data Structures and Algorithms · Computer Science 2025-02-19 Nairen Cao , Steven Roche , Hsin-Hao Su

Given a pair of graphs with the same number of vertices, the inexact graph matching problem consists in finding a correspondence between the vertices of these graphs that minimizes the total number of induced edge disagreements. We study…

Machine Learning · Statistics 2020-07-06 Jesús Arroyo , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

Matching nodes in a graph G = (V, E) is a well-studied algorithmic problem with many applications. The b-matching problem is a generalizati on that allows to match a node with up to b neighbors. This allows more flexible connectivity…

Data Structures and Algorithms · Computer Science 2024-10-15 Fabian Brandt-Tumescheit , Frieda Gerharz , Henning Meyerhenke

We consider message-efficient continuous random sampling from a distributed stream, where the probability of inclusion of an item in the sample is proportional to a weight associated with the item. The unweighted version, where all weights…

Data Structures and Algorithms · Computer Science 2019-04-09 Rajesh Jayaram , Gokarna Sharma , Srikanta Tirthapura , David P. Woodruff

In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require $\Omega(n)$ space, where $n$ is the number of vertices, existing…

Data Structures and Algorithms · Computer Science 2016-05-03 Zengfeng Huang , Pan Peng

In this paper, we study max-weight stochastic matchings on online bipartite graphs under both vertex and edge arrivals. We focus on designing polynomial time approximation algorithms with respect to the online benchmark, which was first…

Data Structures and Algorithms · Computer Science 2022-06-06 Mark Braverman , Mahsa Derakhshan , Antonio Molina Lovett

Maximum Likelihood (ML) algorithms, for the joint estimation of synchronization impairments and channel in Multiple Input Multiple Output-Orthogonal Frequency Division Multiplexing (MIMO-OFDM) system, are investigated in this work. A system…

Information Theory · Computer Science 2012-10-30 Renu Jose , K. V. S. Hari

Let $G=(V, E)$ be a given edge-weighted graph and let its {\em realization} $\mathcal{G}$ be a random subgraph of $G$ that includes each edge $e \in E$ independently with probability $p$. In the {\em stochastic matching} problem, the goal…

Data Structures and Algorithms · Computer Science 2020-04-21 Soheil Behnezhad , Mahsa Derakhshan

Given an undirected node-weighted graph, the Maximum-Weight Connected Subgraph problem (MWCS) is to identify a subset of nodes of maximalsum of weights that induce a connected subgraph. MWCS is closely related to the well-studied Prize…

Data Structures and Algorithms · Computer Science 2014-12-03 Mohammed El-Kebir , Gunnar W. Klau

We study approximation algorithms for the following geometric version of the maximum coverage problem: Let $\mathcal{P}$ be a set of $n$ weighted points in the plane. Let $D$ represent a planar object, such as a rectangle, or a disk. We…

Computational Geometry · Computer Science 2017-12-08 Kai Jin , Jian Li , Haitao Wang , Bowei Zhang , Ningye Zhang

Recently [Bhattacharya et al., STOC 2015] provide the first non-trivial algorithm for the densest subgraph problem in the streaming model with additions and deletions to its edges, i.e., for dynamic graph streams. They present a…

Data Structures and Algorithms · Computer Science 2015-07-30 Hossein Esfandiari , MohammadTaghi Hajiaghayi , David P. Woodruff

Let c denote a non-negative constant. Suppose that we are given an edge-weighted bipartite graph G=(V,E) with its 2-layered drawing and a family X of intersecting edge pairs. We consider the problem of finding a maximum weighted matching M*…

Data Structures and Algorithms · Computer Science 2019-09-17 Kazuya Haraguchi , Kotaro Torii , Motomu Endo

Unsupervised graph alignment finds the node correspondence between a pair of attributed graphs by only exploiting graph structure and node features. One category of recent studies first computes the node representation and then matches…

Machine Learning · Computer Science 2025-05-07 Songyang Chen , Yu Liu , Lei Zou , Zexuan Wang , Youfang Lin

We first design an $\mathcal{O}(n^2)$ solution for finding a maximum induced matching in permutation graphs given their permutation models, based on a dynamic programming algorithm with the aid of the sweep line technique. With the support…

Data Structures and Algorithms · Computer Science 2023-06-22 Viet Dung Nguyen , Ba Thai Pham , Phan Thuan Do

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…

Data Structures and Algorithms · Computer Science 2017-05-30 Zhi-Zhong Chen , Guohui Lin , Lusheng Wang , Yong Chen , Dan Wang

Space efficient algorithms play a central role in dealing with large amount of data. In such settings, one would like to analyse the large data using small amount of "working space". One of the key steps in many algorithms for analysing…

Data Structures and Algorithms · Computer Science 2015-01-19 Anup Bhattacharya , Davis Issac , Ragesh Jaiswal , Amit Kumar