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New directions in modelling, analysis and design of WDM/OFDM-networks: (I) optical switching

: Giglmayr, J.

As, H.R. van ; International Federation for Information Processing -IFIP-, Technical Committee 6, Communication Systems:
Optical Network Design and Modelling 1997 : IFIP TC6 Working Conference on Optical Network Design and Modelling, 24 - 25 February 1997, Vienna, Austria
London: Chapman and Hall, 1998
ISBN: 0-412-84260-2
Working Conference on Optical Network Design and Modelling <1997, Wien>
Fraunhofer HHI ()
differential geometry; frequency division multiplexing; graph theory; group theory; network topology; optical fibre networks; optical switches; wavelength division multiplexing; wdm/ofdm-networks; optical switching; finite graph; compact space; graph topology; algebraic topology; combinatorics; telecommunication network design; coverings; lifting problem; quotient graphs

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.