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TUTCRIS

Quantifying structural complexity of graphs: Information measures in mathematical chemistry

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
OtsikkoQuantum Frontiers of Atoms and Molecules
ToimittajatMihai V. Putz
KustantajaNova Science Publishers, Inc.
Sivut479-497
Sivumäärä19
ISBN (painettu)9781616681586
TilaJulkaistu - 2011
OKM-julkaisutyyppiA3 Kirjan tai muun kokoomateoksen osa

Tiivistelmä

In this chapter, we give a conceptional view about information measures for graphs which can be used to quantify their structural complexity. We focus on treating such measures in the context of mathematical chemistry but we want to mention that those are also applicable for arbitrary complex networks. Besides reviewing the most known information indices often used in chemical graph theory, we propose an information functional that is based on degree-degree associations in a graph. This leads us to a parametric graph entropy measure to quantify the structural information content of a graph. A brief numerical example shows how the measure can be calculated explicitly.

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