This book introduces the study of algebra induced by combinatorial
objects called directed graphs. These graphs are used as tools in
the analysis of graph-theoretic problems and in the
characterization and solution of analytic problems. The book
presents recent research in operator algebra theory connected with
discrete and combinatorial mathematical objects. It also covers
tools and methods from a variety of mathematical areas, including
algebra, operator theory, and combinatorics, and offers numerous
applications of fractal theory, entropy theory, K-theory, and index
theory.
General
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