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1997
Conference Paper
Titel
New directions in modelling, analysis and design of WDM/OFDM-networks: (I) optical switching
Abstract
Bearing in mind that a topological representation of a finite graph is a compact space, by the relationships between (graph) topology, algebraic topology, group theory, (differential) geometry and combinatorics a new universe arises for modelling, analysis and design of (telecommunication) networks. Throughout the present paper, coverings/covering spaces, the lifting problem and quotient graphs are briefly interpreted in terms of the requirements for the combinatorial design of optical switches though the presentation is mainly based on illustrations rather than on a (precise) mathematical description.
Language
English
Tags
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differential geometry
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frequency division multiplexing
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graph theory
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group theory
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network topology
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optical fibre networks
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optical switches
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wavelength division multiplexing
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wdm/ofdm-networks
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optical switching
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finite graph
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compact space
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graph topology
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algebraic topology
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combinatorics
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telecommunication network design
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coverings
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lifting problem
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quotient graphs