{"title":"Towards a Channel Capacity of Communication Networks","authors":"F. Emmert-Streib, M. Dehmer","doi":"10.1109/CANS.2008.19","DOIUrl":null,"url":null,"abstract":"We propose a new measure that quantifies the communication capabilities of networks. More precisely, in this paper we show that the well known channel capacity of a memoryless channel, introduced in information theory, can be defined for arbitrary directed networks. We argue that this new measure, which we call network channel capacity, might be useful for characterizing and classifying communication networks. As first examples we present results for random networks and discuss practical implications.","PeriodicalId":50026,"journal":{"name":"Journal of Systems Science & Complexity","volume":"75 1","pages":"94-99"},"PeriodicalIF":2.6000,"publicationDate":"2008-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Systems Science & Complexity","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1109/CANS.2008.19","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We propose a new measure that quantifies the communication capabilities of networks. More precisely, in this paper we show that the well known channel capacity of a memoryless channel, introduced in information theory, can be defined for arbitrary directed networks. We argue that this new measure, which we call network channel capacity, might be useful for characterizing and classifying communication networks. As first examples we present results for random networks and discuss practical implications.
期刊介绍:
The Journal of Systems Science and Complexity is dedicated to publishing high quality papers on mathematical theories, methodologies, and applications of systems science and complexity science. It encourages fundamental research into complex systems and complexity and fosters cross-disciplinary approaches to elucidate the common mathematical methods that arise in natural, artificial, and social systems. Topics covered are:
complex systems,
systems control,
operations research for complex systems,
economic and financial systems analysis,
statistics and data science,
computer mathematics,
systems security, coding theory and crypto-systems,
other topics related to systems science.