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This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

We consider the design of sublinear space and query complexity algorithms for estimating the cost of a minimum spanning tree (MST) and the cost of a minimum traveling salesman (TSP) tour in a metric on $n$ points. We first consider the…

Data Structures and Algorithms · Computer Science 2023-05-04 Yu Chen , Sanjeev Khanna , Zihan Tan

Emerging optical and virtualization technologies enable the design of more flexible and demand-aware networked systems, in which resources can be optimized toward the actual workload they serve. For example, in a demand-aware datacenter…

Networking and Internet Architecture · Computer Science 2023-08-22 Aleksander Figiel , Janne H. Korhonen , Neil Olver , Stefan Schmid

In the reordering buffer problem (RBP), a server is asked to process a sequence of requests lying in a metric space. To process a request the server must move to the corresponding point in the metric. The requests can be processed slightly…

Data Structures and Algorithms · Computer Science 2012-04-27 Siddharth Barman , Shuchi Chawla , Seeun Umboh

We study network design with a cost structure motivated by redundancy in data traffic. We are given a graph, g groups of terminals, and a universe of data packets. Each group of terminals desires a subset of the packets from its respective…

Data Structures and Algorithms · Computer Science 2013-07-31 Siddharth Barman , Shuchi Chawla , Seeun Umboh

This paper is concerned with the theory, construction and application of variable-stepsize implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., preserve their classical order achieved for uniform stepsizes…

Optimization and Control · Mathematics 2026-02-12 Jens Lang , Bernhard A. Schmitt

When nodes can repeatedly update their behavior (as in agent-based models from computational social science or repeated-game play settings) the problem of optimal network seeding becomes very complex. For a popular spreading-phenomena model…

Social and Information Networks · Computer Science 2023-06-22 Gwen Spencer

We present a system for streaming live entertainment content over the Internet originating from a single source to a scalable number of consumers without resorting to centralised or provider- provisioned resources. The system creates a…

Networking and Internet Architecture · Computer Science 2013-03-28 Eleni Mykoniati , Raul Landa , Spiros Spirou , Richard G. Clegg , Lawrence Latif , David Griffin , Miguel Rio

The growth of the Internet technology enables us to use network applications for streaming audio and video. Especially, real-time streaming services using peer-to-peer (P2P) technology are currently emerging. An important issue on P2P…

Networking and Internet Architecture · Computer Science 2012-04-06 Tomoyuki Ishii , Atsushi Inoie

We revisit multipass pairing heaps and path-balanced binary search trees (BSTs), two classical algorithms for data structure maintenance. The pairing heap is a simple and efficient "self-adjusting" heap, introduced in 1986 by Fredman,…

Data Structures and Algorithms · Computer Science 2018-06-25 Dani Dorfman , Haim Kaplan , László Kozma , Seth Pettie , Uri Zwick

The physical topology is emerging as the next frontier in an ongoing effort to render communication networks more flexible. While first empirical results indicate that these flexibilities can be exploited to reconfigure and optimize the…

Networking and Internet Architecture · Computer Science 2018-07-10 Chen Avin , Stefan Schmid

In the Steiner Tree Augmentation Problem (STAP), we are given a graph $G = (V,E)$, a set of terminals $R \subseteq V$, and a Steiner tree $T$ spanning $R$. The edges $L := E \setminus E(T)$ are called links and have non-negative costs. The…

Data Structures and Algorithms · Computer Science 2022-11-15 R. Ravi , Weizhong Zhang , Michael Zlatin

Reconfigurable optical topologies are a promising new technology to improve datacenter network performance and cope with the explosive growth of traffic. In particular, these networks allow to directly and adaptively connect racks between…

Networking and Internet Architecture · Computer Science 2023-08-31 Marcin Bienkowski , David Fuchssteiner , Stefan Schmid

In this paper we place our arguments on two related issues in the design of generalized structured peer-to-peer overlays. First, we argue that for the large-scale content-sharing applications, lookup and content transport functions need to…

Networking and Internet Architecture · Computer Science 2009-03-25 Shah Asaduzzaman , Gregor v. Bochmann

We initiate the study of degree-bounded network design problems in the online setting. The degree-bounded Steiner tree problem { which asks for a subgraph with minimum degree that connects a given set of vertices { is perhaps one of the…

Data Structures and Algorithms · Computer Science 2017-04-19 Sina Dahghani , Soheil Ehsani , MohammadTaghi Hajiaghayi , Vahid Liaghat , Harald Racke

Topology optimization has emerged as a powerful and increasingly relevant strategy for enhancing the flexibility and efficiency of power system operations. However, solving these problems is computationally demanding due to their…

Optimization and Control · Mathematics 2026-02-11 Salvador Pineda , Juan Miguel Morales

This paper is concerned with the theory, construction and application of implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., preserve their classical order achieved for uniform stepsizes when applied to…

Optimization and Control · Mathematics 2024-04-23 Jens Lang , Bernhard A. Schmitt

Software-Defined Networking (SDN) enables flexible network resource allocations for traffic engineering, but at the same time the scalability problem becomes more serious since traffic is more difficult to be aggregated. Those crucial…

Networking and Internet Architecture · Computer Science 2014-05-09 Liang-Hao Huang , Hui-Ju Hung , Chih-Chung Lin , De-Nian Yang

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

Data Structures and Algorithms · Computer Science 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

Greedy BST (or simply Greedy) is an online self-adjusting binary search tree defined in the geometric view ([Lucas, 1988; Munro, 2000; Demaine, Harmon, Iacono, Kane, Patrascu, SODA 2009). Along with Splay trees (Sleator, Tarjan 1985),…

Data Structures and Algorithms · Computer Science 2022-11-09 Parinya Chalermsook , Manoj Gupta , Wanchote Jiamjitrak , Nidia Obscura Acosta , Akash Pareek , Sorrachai Yingchareonthawornchai