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Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$.…

Machine Learning · Statistics 2020-07-21 Jian Ding , Zongming Ma , Yihong Wu , Jiaming Xu

We derive new results for the performance of a simple greedy algorithm for finding large independent sets and matchings in constant degree regular graphs. We show that for $r$-regular graphs with $n$ nodes and girth at least $g$, the…

Discrete Mathematics · Computer Science 2008-07-09 David Gamarnik , David Goldberg

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

This study investigated typical performance of approximation algorithms known as belief propagation, greedy algorithm, and linear-programming relaxation for maximum coverage problems on sparse biregular random graphs. After using the cavity…

Disordered Systems and Neural Networks · Physics 2018-02-27 Satoshi Takabe , Takanori Maehara , Koji Hukushima

Greedy embedding (or drawing) is a simple and efficient strategy to route messages in wireless sensor networks. For each source-destination pair of nodes s, t in a greedy embedding there is always a neighbor u of s that is closer to t…

Computational Geometry · Computer Science 2013-06-24 Martin Nöllenburg , Roman Prutkin

In this paper, we study the performance of greedy scheduling in multihop wireless networks, where the objective is aggregate utility maximization. Following standard approaches, we consider the dual of the original optimization problem. The…

Networking and Internet Architecture · Computer Science 2016-12-06 Albert Sunny , Joy Kuri , Nachiket Sahasrabudhe

Caching at mobile devices and leveraging device-to-device (D2D) communication are two promising approaches to support massive content delivery over wireless networks. The analysis of such D2D caching networks based on a physical…

Signal Processing · Electrical Eng. & Systems 2018-10-15 Ramy Amer , Hesham Elsawy , M. Majid Butt , Eduard A. Jorswieck , Mehdi Bennis , Nicola Marchetti

We study the greedy-based online algorithm for edge-weighted matching with (one-sided) vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was first studied more than a decade ago by Korula and P\'al for…

Data Structures and Algorithms · Computer Science 2021-12-28 Haim Kaplan , David Naori , Danny Raz

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

Data Structures and Algorithms · Computer Science 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

This paper considers the classic Online Steiner Forest problem where one is given a (weighted) graph $G$ and an arbitrary set of $k$ terminal pairs $\{\{s_1,t_1\},\ldots ,\{s_k,t_k\}\}$ that are required to be connected. The goal is to…

Data Structures and Algorithms · Computer Science 2021-11-22 Étienne Bamas , Marina Drygala , Andreas Maggiori

In this paper, a novel analytical model for resource allocation is proposed for a device-to-device (D2D) assisted cellular network. The proposed model can be applied to underlay and overlay D2D systems for sharing licensed bands and…

Networking and Internet Architecture · Computer Science 2025-09-30 Po-Heng Chou , Yen-Ting Liu , Wei-Chang Chen , Walid Saad

Link scheduling in device-to-device (D2D) networks is usually formulated as a non-convex combinatorial problem, which is generally NP-hard and difficult to get the optimal solution. Traditional methods to solve this problem are mainly based…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Mengyuan Lee , Guanding Yu , Geoffrey Ye Li

In this article we propose a novel Device-to-Device (D2D) Crowd framework for 5G mobile edge computing, where a massive crowd of devices at the network edge leverage the network-assisted D2D collaboration for computation and communication…

Networking and Internet Architecture · Computer Science 2017-03-31 Xu Chen , Lingjun Pu , Lin Gao , Weigang Wu , Di Wu

Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based…

Machine Learning · Statistics 2018-09-28 Wei Qian , Wending Li , Yasuhiro Sogawa , Ryohei Fujimaki , Xitong Yang , Ji Liu

We implement and test the performances of several approximation algorithms for computing the minimum dominating set of a graph. These algorithms are the standard greedy algorithm, the recent LP rounding algorithms and a hybrid algorithm…

Data Structures and Algorithms · Computer Science 2020-09-11 Jonathan S. Li , Rohan Potru , Farhad Shahrokhi

Simultaneous operation of all sensors in a large-scale sensor network is power-consuming and computationally expensive. Hence, it is desirable to select fewer sensors. A greedy algorithm is widely used for sensor selection in homogeneous…

Signal Processing · Electrical Eng. & Systems 2024-05-24 Kaushani Majumder , SibiRaj B. Pillai , Satish Mulleti

Cellular network performance can significantly benefit from direct device-to-device (D2D) communication, but interference from cochannel D2D communication limits the performance gain. In hybrid networks consisting of D2D and cellular links,…

Information Theory · Computer Science 2014-12-16 Qiaoyang Ye , Mazin Al-Shalash , Constantine Caramanis , Jeffrey G. Andrews

Device-to-device (D2D) communication enables direct communication between proximate devices thereby improving the overall spectrum utilization and offloading traffic from cellular networks. This paper develops a new spatial model for D2D…

Information Theory · Computer Science 2016-11-17 Mehrnaz Afshang , Harpreet S. Dhillon , Peter Han Joo Chong

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

Databases · Computer Science 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

In this paper, we focus on the scheduling problem in multi-channel wireless networks, e.g., the downlink of a single cell in fourth generation (4G) OFDM-based cellular networks. Our goal is to design practical scheduling policies that can…

Networking and Internet Architecture · Computer Science 2014-03-25 Bo Ji , Gagan R. Gupta , Manu Sharma , Xiaojun Lin , Ness B. Shroff