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Omega Polynomial in Nanostructures

  • Mircea V. DiudeaEmail author
  • Beata Szefler
Chapter
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 9)

Abstract

Omega polynomial, developed in 2006 in Cluj, Romania, counts the number of topologically parallel edges in all the opposite edge stripes of a connected graph. Definitions and relations with other polynomials and well-known topological indices are given. Within this chapter, omega polynomial is computed in several 3D nanostructures and crystal networks, and analytical formulas as well as examples are given. This polynomial is viewed as an alternative to the crystallographic description.

Keywords

Bipartite Graph Plane Graph General Graph Complete Bipartite Graph Parallel Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Chemistry, Faculty of Chemistry and Chemical EngineeringBabes-Bolyai UniversityCluj-NapocaRomania
  2. 2.Department of Physical Chemistry, Faculty of Pharmacy, Collegium MedicumNicolaus Copernicus UniversityBydgoszczPoland

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