An Atlas of Edge-Reversal Dynamics

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V.C. Barbosa (Federal University of Rio de Janeiro, Brazil) Alan Jeffrey (University of Newcastle upon Tyne, UK)

An Atlas of Edge-Reversal Dynamics

V.C. Barbosa (Federal University of Rio de Janeiro, Brazil), Alan Jeffrey (University of Newcastle upon Tyne, UK), Haim Brezis , Ronald G. Douglas (Texas A & M University)

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English

Chapman & Hall/CRC
23 August 2000

Combinatorics & graph theory; Engineering: general; Maintenance & repairs

Series: Chapman & Hall/CRC Research Notes in Mathematics Series

An Atlas Of Edge-Reversal Dynamics is the first

in-depth account of the graph dynamics system SER (Scheduling by Edge Reversal), a powerful distributed mechanism for scheduling agents in a computer system. The study of SER draws on strong motivation from several areas of application, and reveals very clearly the emergence of complex dynamic behavior from very simple transition rules. As such, SER provides the opportunity for the study of complex graph dynamics that can be applied to computer science, optimization, artificial intelligence, networks of automata, and other complex systems.

In Part 1: Edge-Reversal Dynamics, the author discusses the main applications and properties of SER, provides data

from statistics and correlations computed over several graph classes, and gives an overview of the algorithmic aspects of the construction of the catalogue, thus summarizing the methodology and findings of the cataloguing effort. Part 2: The Atlas, comprises the atlas proper-a catalogue of graphical representations of all basins of attraction generated by the SER mechanism for all graphs in selected classes. An Atlas Of Edge-Reversal Dynamics is a unique and detailed treatment of SER. Along with the catalogue, discussions of SER in the contexts of resource-sharing and automaton networks and a comprehensive set of references make this an important resource for researchers and graduate students in graph theory, discrete mathematics, and complex systems.

By: V.C. Barbosa (Federal University of Rio de Janeiro Brazil)
Series edited by: Alan Jeffrey (University of Newcastle upon Tyne UK), Haim Brezis, Ronald G. Douglas (Texas A & M University)
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm, Spine: 20mm
Weight: 710g
ISBN: 9781584882091
ISBN 10: 1584882093
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Pages: 380
Publication Date: 23 August 2000
Audience: College/higher education , General/trade , Professional and scholarly , Further / Higher Education , ELT Advanced
Format: Paperback
Publisher's Status: Active

EDGE-REVERSAL DYNAMICS. Introduction. Neighborhood-Constrained Systems. Scheduling by Edge Reversal. The SER State Space. THE ATLAS. All Graphs on Six Nodes. All Trees on Seven Nodes. All Rings on up to Eight Nodes.

V.C. Barbosa