Mathematical aspects of fullerenes
DOI:
https://doi.org/10.26493/1855-3974.834.b02Keywords:
Fullerene, cubic graph, planar graph, topological indicesAbstract
Fullerene graphs are cubic, 3-connected, planar graphs with exactly 12 pentagonal faces, while all other faces are hexagons. Fullerene graphs are mathematical models of fullerene molecules, i.e., molecules comprised only by carbon atoms different than graphites and diamonds. We give a survey on fullerene graphs from our perspective, which could be also considered as an introduction to this topic. Different types of fullerene graphs are considered, their symmetries, and construction methods. We give an overview of some graph invariants that can possibly correlate with the fullerene molecule stability, such as: the bipartite edge frustration, the independence number, the saturation number, the number of perfect matchings, etc.Downloads
Published
2016-03-24
Issue
Section
Mathematical Chemistry Issue - In Memory of Ante Graovac
License
Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/