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- W2495411275 abstract "This chapter examines the concept of invariants aimed at characterising the global subgraph structure of a network. The discussions cover functions of adjacency matrix, such as the Estrada index; the global algebraic and structural properties of this index; a parameterised Estrada index and the concept of temperature in complex networks; and the statistical mechanics interpretation of this index and the development of functions that account for the entropy, total, and free energies of a network. Directed complex networks are then analysed through the use of the returnability index, which is presented using concepts of ‘chemical’ equilibrium between networks. The chapter ends with a brief account of the concepts of matrix functions used for the definition of the indices it presented earlier." @default.
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- W2495411275 date "2011-10-20" @default.
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- W2495411275 title "Accounting for all parts (subgraphs)" @default.
- W2495411275 doi "https://doi.org/10.1093/acprof:oso/9780199591756.003.0005" @default.
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