Smooth function topological structure descriptors based on graph-spectra |
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| Authors: | Ramon Carbó-Dorca |
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| Affiliation: | (1) Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281, Gent, 9000, Belgium;(2) Institut de Química Computacional, Universitat de Girona, Girona, Catalonia, 17071, Spain |
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| Abstract: | The spectral topological indices: energy and Estrada index of a graph are generalized for any smooth function. The smooth function indices are introduced for this purpose as well as, via positive definite square summable functions, the Shannon entropy of a graph. Some comparative values are given between linear chains and cycles. |
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| Keywords: | Adjacency matrix spectrum Topological indices Energy index Estrada index |
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