Maximum-Entropy Networks

Maximum-Entropy Networks

Pattern Detection, Network Reconstruction and Graph Combinatorics

Garlaschelli, Diego; Squartini, Tiziano

Springer International Publishing AG

11/2017

116

Mole

Inglês

9783319694368

15 a 20 dias

A final chapter offers various overarching remarks and take-home messages.By requiring no prior knowledge of network theory, the book targets a broad audience ranging from PhD students approaching these topics for the first time to senior researchers interested in the application of advanced network techniques to their field.
Introduction.- Maximum-entropy ensembles of graphs.- Constructing constrained graph ensembles: why and how?.- Comparing models obtained from different constraints.- Pattern detection.- Detecting assortativity and clustering.- Detecting dyadic motifs.- Detecting triadic motifs.- Some extensions to weighted networks.- Network reconstruction.- Reconstructing network properties from partial information.- The Enhanced Configuration Model.- Further reducing the observational requirements.- Graph combinatorics.- A dual route to combinatorics?.- Soft' combinatorial enumeration.- Quantifying ensemble (non)equivalence.- Breaking of equivalence between ensembles.- Implications of (non)equivalence for combinatorics.- "What then shall we choose?" Hardness or softness?.- Concluding remarks.
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