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We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

We consider the problem of approximating a maximum weighted matching, when the edges of an underlying weighted graph $G(V,E)$ are revealed in a streaming fashion. We analyze a variant of the previously best-known…

Data Structures and Algorithms · Computer Science 2018-05-01 Elena Grigorescu , Morteza Monemizadeh , Samson Zhou

With increasing number of autonomous heterogeneous devices in future mobile networks, an efficient resource allocation scheme is required to maximize network throughput and achieve higher spectral efficiency. In this paper, performance of…

Networking and Internet Architecture · Computer Science 2013-11-05 Monowar Hasan , Ekram Hossain

Wireless network virtualization enables multiple virtual wireless networks to coexist on shared physical infrastructure. However, one of the main challenges is the problem of assigning the physical resources to virtual networks in an…

Networking and Internet Architecture · Computer Science 2015-05-18 Jonathan van de Belt , Hamed Ahmadi , Linda E. Doyle

Caching at mobile devices can facilitate device-to-device (D2D) communications, which may significantly improve spectrum efficiency and alleviate the heavy burden on backhaul links. However, most previous works ignored user mobility, thus…

Information Theory · Computer Science 2017-03-07 Rui Wang , Jun Zhang , S. H. Song , Khaled B. Letaief

Cache-aided wireless device-to-device (D2D) networks allow significant throughput increase, depending on the concentration of the popularity distribution of files. Many studies assume that all users have the same preference distribution;…

Networking and Internet Architecture · Computer Science 2020-05-18 Ming-Chun Lee , Andreas F. Molisch

This paper proposes an novel knowledge-driven approach for resource allocation in device-to-device (D2D) networks using a graph neural network (GNN) architecture. To meet the millisecond-level timeliness and scalability required for the…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Hao Yang , Nan Cheng , Ruijin Sun , Wei Quan , Rong Chai , Khalid Aldubaikhy , Abdullah Alqasir , Xuemin Shen

The increase in demand for spectrum-based services forms a bottleneck in wireless networks. Device-to-Device (D2D) caching networks tackle this problem by exploiting user's behavior predictability and the possibility of sharing data between…

Networking and Internet Architecture · Computer Science 2019-03-26 Sameh Hosny , Atilla Eryilmaz , Alhussein A. Abouzeid , Hesham El Gamal

In this paper, a new information theoretic framework for graph matching is introduced. Using this framework, the graph isomorphism and seeded graph matching problems are studied. The maximum degree algorithm for graph isomorphism is…

Information Theory · Computer Science 2017-11-29 F. Shirani , S. Garg , E. Erkip

Device-to-device (D2D) communication in cellular networks allows direct transmission between two cellular devices with local communication needs. Due to the increasing number of autonomous heterogeneous devices in future mobile networks, an…

Networking and Internet Architecture · Computer Science 2016-11-15 Monowar Hasan , Ekram Hossain , Dong In Kim

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

Data Structures and Algorithms · Computer Science 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a $(\frac{1}{2}+\Omega(1))$-approximation algorithm which can be implemented in $O(n^{1+\epsilon})$ time, where $n$ is the number…

Data Structures and Algorithms · Computer Science 2022-06-28 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein , Amin Saberi

This paper studies energy efficiency maximization in device-to-device (D2D) communications underlaying cellular networks in millimeter-wave (mm-wave) band. A stochastic geometry framework has been used to extract the results. First,…

Signal Processing · Electrical Eng. & Systems 2020-06-08 Negar Zabetian , Abbas Mohammadi , Mohammad Kazemi

In this article we prove that the minimum-degree greedy algorithm, with adversarial tie-breaking, is a $(2/3)$-approximation for the Maximum Independent Set problem on interval graphs. We show that this is tight, even on unit interval…

Data Structures and Algorithms · Computer Science 2024-03-19 Steven Chaplick , Martin Frohn , Steven Kelk , Johann Lottermoser , Matus Mihalak

Recently, wireless caching techniques have been studied to satisfy lower delay requirements and offload traffic from peak periods. By storing parts of the popular files at the mobile users, users can locate some of their requested files in…

Information Theory · Computer Science 2018-09-30 Yi Li , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar

Motivated by the fact that in several cases a matching in a graph is stable if and only if it is produced by a greedy algorithm, we study the problem of computing a maximum weight greedy matching on weighted graphs, termed GreedyMatching.…

Discrete Mathematics · Computer Science 2016-05-23 Argyrios Deligkas , George B. Mertzios , Paul G. Spirakis

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

Discrete Mathematics · Computer Science 2014-08-20 Fern Y. Hunt

Sampling is a fundamental topic in graph signal processing, having found applications in estimation, clustering, and video compression. In contrast to traditional signal processing, the irregularity of the signal domain makes selecting a…

Information Theory · Computer Science 2018-02-14 Luiz F. O. Chamon , Alejandro Ribeiro

The basic idea of device-to-device (D2D) communication is that pairs of suitably selected wireless devices reuse the cellular spectrum to establish direct communication links, provided that the adverse effects of D2D communication on…

Computer Science and Game Theory · Computer Science 2016-05-03 Setareh Maghsudi , Slawomir Stanczak

The development of mobile virtual network operators, where multiple wireless technologies (e.g. 3G and 4G) or operators with non-overlapping bandwidths are pooled and shared is expected to provide enhanced service with broader coverage,…

Information Theory · Computer Science 2016-03-23 Abishek Sankararaman , Jeong-woo Cho , Francois Baccelli