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We describe the structure of the graphs with the smallest average distance and the largest average clustering given their order and size. There is usually a unique graph with the largest average clustering, which at the same time has the…

Molecular Networks · Quantitative Biology 2010-07-28 Dionysios Barmpoutis , Richard M. Murray

In this research paper, an efficient routing protocol for all optical network (AOL) is proposed. The technique uses wavelength division multiplexing (WDM). The proposed one is different from the conventional AOL protocol in transmission of…

Networking and Internet Architecture · Computer Science 2014-07-25 Kazi Sakib , Mosaddek Hossain Kamal , Upama Kabir

In this paper, we consider the problem of scheduling real-time traffic in wireless networks under a conflict-graph interference model and single-hop traffic. The objective is to guarantee that at least a certain fraction of packets of each…

Networking and Internet Architecture · Computer Science 2020-01-16 Christos Tsanikidis , Javad Ghaderi

This paper focuses on intelligent routing in microservice systems and proposes an end-to-end optimization framework based on graph neural networks. The goal is to improve routing decision efficiency and overall system performance under…

Networking and Internet Architecture · Computer Science 2025-10-20 Chenrui Hu , Ziyu Cheng , Di Wu , Yuxiao Wang , Feng Liu , Zhimin Qiu

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

This essay provides a comprehensive analysis of the optimization and performance evaluation of various routing algorithms within the context of computer networks. Routing algorithms are critical for determining the most efficient path for…

Networking and Internet Architecture · Computer Science 2024-02-27 Xunchi Ma

We consider a general class of low complexity distributed scheduling algorithms in wireless networks, maximal scheduling with priorities, where a maximal set of transmitting links in each time slot are selected according to certain…

Information Theory · Computer Science 2011-12-05 Qiao Li , Rohit Negi

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

Physics and Society · Physics 2019-05-22 David Aldous , Marc Barthelemy

Wireless network topologies change over time and maintaining routes requires frequent updates. Updates are costly in terms of consuming throughput available for data transmission, which is precious in wireless networks. In this paper, we…

Networking and Internet Architecture · Computer Science 2009-09-16 Dominique Tschopp , Suhas Diggavi , Matthias Grossglauser

This paper studies the problem of scheduling in single-hop wireless networks with real-time traffic, where every packet arrival has an associated deadline and a minimum fraction of packets must be transmitted before the end of the deadline.…

Networking and Internet Architecture · Computer Science 2010-07-12 Juan Jose Jaramillo , R. Srikant , Lei Ying

The space-requirement for routing-tables is an important characteristic of routing schemes. For the cost-measure of minimizing the total network load there exist a variety of results that show tradeoffs between stretch and required size for…

Networking and Internet Architecture · Computer Science 2021-01-12 Philipp Czerner , Harald Räcke

We consider the problem of dominating set-based virtual backbone used for routing in asymmetric wireless ad-hoc networks. These networks have non-uniform transmission ranges and are modeled using the well-established disk graphs. The…

Networking and Internet Architecture · Computer Science 2015-10-08 Faisal N. Abu-Khzam , Christine Markarian , Friedhelm Meyer auf der Heide , Michael Schubert

We study link scheduling in wireless networks under stochastic arrival processes of packets, and give an algorithm that achieves stability in the physical (SINR) interference model. The efficiency of such an algorithm is the fraction of the…

Networking and Internet Architecture · Computer Science 2012-03-20 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

In single channel wireless networks, concurrent transmission at different links may interfere with each other. To improve system throughput, a scheduling algorithm is necessary to choose a subset of links at each time slot for data…

Combinatorics · Mathematics 2012-10-30 Ali Ghiasian , Behnaz Omoomi , Hossein Saidi

In this paper, we consider networks with multiple unicast sessions. Generally, non-linear network coding is needed to achieve the whole rate region of network coding. Yet, there exist networks for which routing is sufficient to achieve the…

Information Theory · Computer Science 2014-05-01 Chun Meng , Minghua Chen , Athina Markopoulou

Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices $u$ and $v$ can be determined efficiently by merely inspecting the labels of $u$ and $v$,…

Discrete Mathematics · Computer Science 2020-07-07 Victor Chepoi , Arnaud Labourel , Sebastien Ratel

Designing an efficient routing strategy is of great importance to alleviate traffic congestion in multilayer networks. In this work, we design an effective routing strategy for multilayer networks by comprehensively considering the roles of…

Physics and Society · Physics 2019-07-31 Lei Gao , Panpan Shu , Ming Tang , Wei Wang , Hui Gao

Mobile networks are intriguing in recent years due to their practical implications. Previous routing strategies for improving transport efficiency have little attention what order should the packets be forwarded, just simply used…

Networking and Internet Architecture · Computer Science 2018-04-18 Ganhua Wu

This paper studies the fundamental problem of how to reroute $k$ unsplittable flows of a certain demand in a capacitated network from their current paths to their respective new paths, in a congestion-free manner and fast. This scheduling…

Data Structures and Algorithms · Computer Science 2018-05-22 Saeed Akhoondian Amiri , Szymon Dudycz , Mahmoud Parham , Stefan Schmid , Sebastian Wiederrecht

The paper is divided in to two parts. In the first part we present some new results for the \textit{routing via matching} model introduced by Alon et al\cite{5}. This model can be viewed as a communication scheme on a distributed network.…

Discrete Mathematics · Computer Science 2016-04-29 Indranil Banerjee , Dana Richards