This book combines traditional graph theory with the matroid view
of graphs in order to throw light on the mathematical approach to
network analysis. The authors examine in detail two dual structures
associated with a graph, namely circuits and cutsets. These are
strongly dependent on one another and together constitute a third,
hybrid, vertex-independent structure called a graphoid, whose study
is here termed hybrid graph theory. This approach has particular
relevance for network analysis. The first account of the subject in
book form, the text includes many new results as well as the
synthesizing and reworking of much research done over the past
thirty years (historically, the study of hybrid aspects of graphs
owes much to the foundational work of Japanese researchers). This
work will be regarded as the definitive account of the subject,
suitable for all working in theoretical network analysis:
mathematicians, computer scientists or electrical engineers.
General
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