4.2 Article

Packing stars in fullerenes

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 58, Issue 10, Pages 2223-2244

Publisher

SPRINGER
DOI: 10.1007/s10910-020-01177-4

Keywords

Fullerene graph; Generalized fullerene; Perfect packing; Perfect pseudomatching

Funding

  1. Croatian Science Foundation via research project LightMol [HRZZ-IP-2016-06-1142]
  2. University of Kashan [985985/1]

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A perfect star packing in a graphGis a spanning subgraph ofGwhose every component is isomorphic to the star graph K-1,K-3. We investigate which fullerene graphs allow such packings. We also consider generalized fullerene graphs and packings of other graphs into classical and generalized fullerenes. Several open problems are listed.

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