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 mathematic
Algebra on Graphs. Representations and Operator Algebras of Graph Groupoids. Operator Theory on Graphs. Fractal on Graph Groupoids. Entropy Theory on Graphs. Jones Index Theory on Graph Groupoids. Network Theory on Graphs. K-Theory on Graphs.