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The stateless, low overhead and distributed nature of the Geographic routing protocols attract a lot of research attentions recently. Since the geographic routing would face void problems, leading to complementary routing such as perimeter…

Networking and Internet Architecture · Computer Science 2008-03-28 Ke Liu , Nael Abu-Ghazaleh

We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information, such as a node's location and that of its neighbors.…

Statistical Mechanics · Physics 2015-05-18 Jie Sun , Daniel ben-Avraham

Geographic routing is a routing paradigm, which uses geographic coordinates of network nodes to determine routes. Greedy routing, the simplest form of geographic routing forwards a packet to the closest neighbor towards the destination. A…

Computational Geometry · Computer Science 2016-09-15 Pierre Leone , Kasun Samarasinghe

Geographic routing is an appealing routing strategy that uses the location information of the nodes to route the data. This technique uses only local information of the communication graph topology and does not require computational effort…

Networking and Internet Architecture · Computer Science 2016-10-31 Pierre Leone , Kasun Samarasinghe

The algorithmic small-world phenomenon, empirically established by Milgram's letter forwarding experiments from the 60s, was theoretically explained by Kleinberg in 2000. However, from today's perspective his model has several severe…

Social and Information Networks · Computer Science 2017-02-21 Karl Bringmann , Ralph Keusch , Johannes Lengler , Yannic Maus , Anisur Molla

We present a novel geographical routing scheme for spontaneous wireless mesh networks. Greedy geographical routing has many advantages, but suffers from packet losses occurring at the border of voids. In this paper, we propose a flexible…

Networking and Internet Architecture · Computer Science 2009-02-25 Fabrice Theoleyre , Eryk Schiller , Andrzej Duda

During the last decade of network research focusing on structural and dynamical properties of networks, the role of network users has been more or less underestimated from the bird's-eye view of global perspective. In this era of global…

Physics and Society · Physics 2013-04-18 Sang Hoon Lee , Petter Holme

Over the past decade, GPS enabled traffic applications, such as Google Maps and Waze, have become ubiquitous and have had a significant influence on billions of daily commuters' travel patterns. A consequence of the online route suggestions…

Optimization and Control · Mathematics 2021-09-21 Devansh Jalota , Dario Paccagnan , Maximilian Schiffer , Marco Pavone

In this paper, we design a greedy routing on networks of mobile agents. In the greedy routing algorithm, every time step a packet in agent $i$ is delivered to the agent $j$ whose distance from the destination is shortest among searched…

Networking and Internet Architecture · Computer Science 2011-12-21 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

Greedy navigation/routing plays an important role in geometric routing of networks because of its locality and simplicity. This can operate in geometrically embedded networks in a distributed manner, distances are calculated based on…

Biological Physics · Physics 2021-11-09 Zalan heszberger , Andras Majdan , Andras Biro , Andras Gulyas , Laszlo Balazs , Vilmos Nemeth , Jozsef Biro

Directed graphs provide more subtle and precise modelling tools for optimization in road networks than simple graphs. In particular, they are more suitable in the context of alternative fuel vehicles and new automotive technologies, like…

Discrete Mathematics · Computer Science 2024-09-09 Lukas Dijkstra , Andrei Gagarin , Padraig Corcoran , Rhyd Lewis

Geographic routing is becoming the protocol of choice for many sensor network applications. The current state of the art is unsatisfactory: some algorithms are very efficient, however they require a preliminary planarization of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Olivier Powell , Sotiris Nikolesteas

We analyze different strategies aimed at optimizing routing policies in the Internet. We first show that for a simple deterministic algorithm the local properties of the network deeply influence the time needed for packet delivery between…

Other Condensed Matter · Physics 2007-12-19 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

Geographic routing with greedy relaying strategies have been widely studied as a routing scheme in sensor networks. These schemes assume that the nodes have perfect information about the location of the destination. When the distance…

Information Theory · Computer Science 2007-07-13 Sundar Subramanian , Sanjay Shakkottai

Geographic routing consists in using the position information of nodes to assist in the routing process, and has been a widely studied subject in sensor networks. One of the outstanding challenges facing geographic routing has been its…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-15 Aubin Jarry

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

Designing spatial networks, such as transport networks, commonly deals with the problem of how to best connect a set of locations through a set of links. In practice, it can be crucial to order the implementation of the links in a way that…

Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods…

Physics and Society · Physics 2024-01-08 Bendegúz Sulyok , Gergely Palla

We present and study the Static-Routing-Resiliency problem, motivated by routing on the Internet: Given a graph $G$, a unique destination vertex $d$, and an integer constant $c>0$, does there exist a static and destination-based routing…

Networking and Internet Architecture · Computer Science 2016-07-28 Marco Chiesa , Andrei Gurtov , Aleksander Mądry , Slobodan Mitrović , Ilya Nikolaevkiy , Aurojit Panda , Michael Schapira , Scott Shenker

In greedy geometric routing, messages are passed in a network embedded in a metric space according to the greedy strategy of always forwarding messages to nodes that are closer to the destination. We show that greedy geometric routing…

Computational Geometry · Computer Science 2009-10-02 Michael T. Goodrich , Darren Strash
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