1st Edition

An Atlas of Edge-Reversal Dynamics

By V.C. Barbosa Copyright 2000
    380 Pages
    by Chapman & Hall

    380 Pages
    by Chapman & Hall

    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.

    Edge-Reversal Dynamics
    Introduction: SER Origins and Neighborhood Constraints; Sequences of Acyclic Orientations
    Neighborhood-Constrained Systems: Resource-Sharing Systems; Partially Concurrent Networks of Automata
    Scheduling by Edge Reversal: Main Properties and Special Cases; Attractor Dynamics and Concurrency
    The SER State Space: Enumerating Graphs and Acyclic Orientations; Some Statistics and Correlations
    The Atlas
    All Graphs on Six Nodes
    All Trees on Seven Nodes
    All Rings on up to Eight Nodes


    V.C. Barbosa