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Erschienen in:
Entropy of Digraphs and Infinite Networks Kapitel lesen Erstes Kapitel lesen

2011 | OriginalPaper | Buchkapitel

6. On the Development and Application of Net-Sign Graph Theory

verfasst von : Prabhat K. Sahu, Shyi-Long Lee

Erschienen in: Towards an Information Theory of Complex Networks

Verlag: Birkhäuser Boston

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Abstract

This report briefly describes the development and applications of net-sign graph theory. The current work enunciates the graph (molecule) signature of non-alternant non-benzenoid hydrocarbons with odd member of rings (non-bipartite molecular graphs) based on chemical signed graph theory. Experimental evidences and Hückel spectrum reveal that structure possessing nonbonding molecular orbital (NBMOs) is very unstable and highly reactive under the drastic conditions of low temperature. Chemical signed graph theoretical approach is applied successfully to classify the non-bipartite molecular graphs with a view to Randic’s conjugated circuit models based on their spectral characteristic. The obtained results based on net-sign approach are compared with those obtained using Hückel calculations.

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Vorheriges Kapitel Information-Theoretic Methods in Chemical Graph Theory
Nächstes Kapitel The Central Role of Information Theory in Ecology
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Metadaten
Titel
On the Development and Application of Net-Sign Graph Theory
verfasst von
Prabhat K. Sahu
Shyi-Long Lee
Copyright-Jahr
2011
Verlag
Birkhäuser Boston
Buch
Towards an Information Theory of Complex Networks

Print ISBN: 978-0-8176-4903-6

Electronic ISBN: 978-0-8176-4904-3

Copyright-Jahr: 2011

DOI
https://doi.org/10.1007/978-0-8176-4904-3_6