Automorphism group and fixing number of \((3,6)\)- and \((4,6)\)-fullerene graphs

DOI10.1016/j.endm.2013.11.022zbMath1338.05120DBLPjournals/endm/Koorepazan-MoftakharAMG14OpenAlexW1980922810WikidataQ61987593 ScholiaQ61987593MaRDI QIDQ277461

Ali Reza Ashrafi, Z. Mehranian, Fatemeh Koorepazan-Moftakhar

Publication date: 29 April 2016

Full work available at URL: https://doi.org/10.1016/j.endm.2013.11.022

zbMATH Keywords

automorphism groupfixing number\((3, 6)\)-fullerene graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (7)

On the fixing sets of dihedral groups ⋮ Fixing numbers of graphs with symmetric and generalized quaternion symmetry groups ⋮ An Algebraic Modification of Wiener and Hyper–Wiener Indices and Their Calculations for Fullerenes ⋮ Distance Under Symmetry: (3,6)-Fullerenes ⋮ Topological Indices of 3-Generalized Fullerenes ⋮ On the fixing number of functigraphs ⋮ Metric dimension of fullerene graphs

Uses Software

• GAP
• Magma

Cites Work

• Hexagonal resonance of (3,6)-fullerenes
• Destroying automorphisms by fixing nodes
• Cayley sum graphs and eigenvalues of \((3,6)\)-fullerenes
• The Magma algebra system. I: The user language
• Methods of destroying the symmetries of a graph

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