ABSTRACT

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

chapter 1|43 pages

Algebra on Graphs

chapter 3|66 pages

Operator Theory on Graphs

chapter 4|72 pages

Fractals on Graph Groupoids

chapter 5|22 pages

Entropy Theory on Graphs

chapter 6|70 pages

Jones Index Theory on Graph Groupoids

chapter 7|41 pages

Network Theory on Graphs 363

chapter 8|26 pages

K-Theory on Graphs