@article{938532,
      recid = {938532},
      author = {Rosenberg, Eric.},
      title = {Fractal dimensions of networks /},
      pages = {1 online resource (xx, 524 pages)},
      abstract = {Current interest in fractal dimensions of networks is the  result of more than a century of previous research on  dimensions. Fractal Dimensions of Networks ties the theory  and methods for computing fractal dimensions of networks to  the classical theory of dimensions of geometric objects.  The goal of the book is to provide a unified treatment of  fractal dimensions of sets and networks. Since almost all  of the major concepts in fractal dimensions originated in  the study of sets, the book achieves this goal by first  clearly presenting, with an abundance of examples and  illustrations, the theory and algorithms for sets, and then  showing how the theory and algorithms have been applied to  networks. For example, the book presents the classical  theory and algorithms for the box counting dimension for  sets, and then presents the box counting dimension for  networks. All the major fractal dimensions are studied,  e.g., the correlation dimension, the information dimension,  the Hausdorff dimension, the multifractal spectrum, as well  as many lesser known dimensions. Algorithm descriptions are  accompanied by worked examples, with many applications of  the methods presented. · Presentation of a unified view of  fractal dimensions and the relationship between computing  these dimensions for geometric objects and computing them  for networks · A historical view of the different  dimensions, starting with Euclid, presented in a form that  is not overly mathematical · Many applications of the  methods are discussed in a broad range of fields: art,  biology, cosmology, food processing, marine science,  neurology, etc. · Many examples are provided to illustrate  the computational methods · Includes exercises throughout,  ranging in difficulty from simple to research level. --},
      url = {http://library.usi.edu/record/938532},
      doi = {https://doi.org/10.1007/978-3-030-43169-3,  https://doi.org/10.1007/978-3-030-43},
}