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

CRC Press
27 July 2017

Discrete mathematics; Combinatorics & graph theory

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: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9781138411951
ISBN 10: 1138411957
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Pages: 380
Publication Date: 27 July 2017
Audience: Professional and scholarly , Undergraduate
Format: Hardback
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