@article{1400072,
      author = {Cho, Ilwoo. and Jrgensen, Palle E. T.,},
      url = {http://library.usi.edu/record/1400072},
      title = {Algebras, graphs and their applications /},
      abstract = {"Preface In this book, we consider algebra on directed  graphs. From combinatorial objects, direct graphs, we  establish corresponding algebraic objects which become  groupoids. We call such groupoids graph groupoids.  Connected with groupoid theory, we investigate the  properties of graph groupoids. From this investigation, we  can realize that graph groupoids act like the free groups  in group theory. In other words, the study of graph  groupoids is understood as groupoidal version of free-group  theory. As application, we observe how graph groupoids are  playing their role in different mathematical and scientific  areas, including general groupoid theory, representation  theory, automata theory, operator algebra (von Neumann  algebra theory, C*-algebra theory, free probability, and  index theory), noncommutative dynamical systems (groupoid  dynamical systems), operator theory (spectral theory),  fractal theory, information theory (entropy theory), and  network theory, etc. We can check all operated groupoids  (for instance, groupoid sums, product groupoids, quotient  groupoids, etc) of graph groupoids are graph groupoids,  too. This means that the study of operated groupoids of  graph groupoids becomes nothing but studying other graph  groupoids. It makes us easy to handle graph-groupoid  related structures"--},
      recid = {1400072},
      pages = {1 online resource (442 pages).},
}