Cities can be considered to be among the largest and most complex artificial networks created by human beings. This monograph lays down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics.
Cities can be considered to be among the largest and most complex artificial networks created by human beings. This monograph lays down the theoretica...
Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed...
Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional co...