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Related papers: (l,k)-Routing on Plane Grids

200 papers

Cooperation between the nodes of wireless multihop networks can increase communication reliability, reduce energy consumption, and decrease latency. The possible improvements are even greater when nodes perform mutual information…

Information Theory · Computer Science 2009-08-27 Stark C. Draper , Lingjia Liu , Andreas F. Molisch , Jonathan S. Yedidia

This paper explores the problem of page migration in ring networks. A ring network is a connected graph, in which each node is connected with exactly two other nodes. In this problem, one of the nodes in a given network holds a page of size…

Data Structures and Algorithms · Computer Science 2016-12-06 Amanj Khorramian , Akira Matsubayashi

In this paper, we address the Bounded Cardinality Hub Location Routing with Route Capacity wherein each hub acts as a transshipment node for one directed route. The number of hubs lies between a minimum and a maximum and the hub-level…

Optimization and Control · Mathematics 2017-05-24 Shahin Gelareha , Rahimeh Neamatian Monemic , Frederic Semetd

Motivated by the use of high speed circuit switches in large scale data centers, we consider the problem of circuit switch scheduling. In this problem we are given demands between pairs of servers and the goal is to schedule at every time…

Data Structures and Algorithms · Computer Science 2019-05-09 Roy Schwartz , Mohit Singh , Sina Yazdanbod

Acquisition and processing of point clouds (PCs) is a crucial enabler for many emerging applications reliant on 3D spatial data, such as robot navigation, autonomous vehicles, and augmented reality. In most scenarios, PCs acquired by remote…

Information Theory · Computer Science 2024-01-02 Yulin Shao , Chenghong Bian , Li Yang , Qianqian Yang , Zhaoyang Zhang , Deniz Gunduz

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

Optimization and Control · Mathematics 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

We consider a distributed system of n identical mobile robots operating in the two dimensional Euclidian plane. As in the previous studies, we consider the robots to be anonymous, oblivious, dis-oriented, and without any communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-14 Shantanu Das , Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Masafumi Yamashita

In this paper we deal with an extension of the crossing postman problem to design Hamiltonian routes that have to visit different shapes of dimensional elements (neighborhoods or polygonal chains) rather than edges. This problem models…

Combinatorics · Mathematics 2020-12-07 Justo Puerto , Carlos Valverde

For the problem of delivering a package from a source node to a destination node in a graph using a set of drones, we study the setting where the movements of each drone are restricted to a certain subgraph of the given graph. We consider…

Data Structures and Algorithms · Computer Science 2022-09-27 Thomas Erlebach , Kelin Luo , Frits C. R. Spieksma

A delay-constrained scheduling problem for point-to-point communication is considered: a packet of $B$ bits must be transmitted by a hard deadline of $T$ slots over a time-varying channel. The transmitter/scheduler must determine how many…

Information Theory · Computer Science 2008-07-23 Juyul Lee , Nihar Jindal

Due to the computational complexity of finding almost shortest simple paths, we propose that identifying a larger collection of (nonbacktracking) paths is more efficient than finding almost shortest simple paths on positively weighted…

Data Structures and Algorithms · Computer Science 2017-11-08 David Burstein , Leigh Metcalf

An instance of the maximum mixed graph orientation problem consists of a mixed graph and a collection of source-target vertex pairs. The objective is to orient the undirected edges of the graph so as to maximize the number of pairs that…

Data Structures and Algorithms · Computer Science 2012-04-03 Iftah Gamzu , Moti Medina

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

The problem of error-control in random linear network coding is considered. A ``noncoherent'' or ``channel oblivious'' model is assumed where neither transmitter nor receiver is assumed to have knowledge of the channel transfer…

Information Theory · Computer Science 2008-03-25 Ralf Koetter , Frank Kschischang

Over the past 50 years, conventional network routing design has undergone substantial growth, evolving from small networks with static nodes to large systems connecting billions of devices. This progress has been achieved through the…

Quantum Physics · Physics 2023-05-02 Binayak Kar , Pankaj Kumar

Quantum network is a promising platform for many ground-breaking applications that lie beyond the capability of its classical counterparts. Efficient entanglement generation on quantum networks with relatively limited resources such as…

Quantum Physics · Physics 2020-01-08 Changhao Li , Tianyi Li , Yi-Xiang Liu , Paola Cappellaro

Tracking of moving objects is crucial to security systems and networks. Given a graph $G$, terminal vertices $s$ and $t$, and an integer $k$, the \textsc{Tracking Paths} problem asks whether there exists at most $k$ vertices, which if…

Data Structures and Algorithms · Computer Science 2020-08-24 Pratibha Choudhary , Venkatesh Raman

The paper focuses on two problems: (i) how to orient the edges of an undirected graph in order to maximize the number of ordered vertex pairs (x,y) such that there is a directed path from x to y, and (ii) how to orient the edges so as to…

Data Structures and Algorithms · Computer Science 2015-06-02 S. L. Hakimi , E. Schmeichel , Neal E. Young

Understanding how packets are routed in Internet is significantly important to Internet measurement and modeling. The conventional solution for route simulation is based on the assumption of unweighted shortest path. However, it has been…

Networking and Internet Architecture · Computer Science 2014-09-30 Mingming Chen , Jichang Zhao , Xiao Liang , Ke Xu

Distributing entangled pairs among multiple users is a fundamental problem in quantum networks. Existing protocols like $X$ protocol introduced in (npj Quantum Information 5, 76 (2019)) use graph theoretic tools like local complementation…

Quantum Physics · Physics 2023-04-05 Vaisakh Mannalath , Anirban Pathak