Cyclic edge-cuts in fullerene graphs

DOI10.1007/s10910-007-9296-9zbMath1145.92038OpenAlexW4243822826MaRDI QIDQ937688

František Kardoš, Riste Škrekovski

Publication date: 15 August 2008

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-007-9296-9

zbMATH Keywords

cyclic edge-cutcyclical edge-connectivity

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (23)

The anti-Kekulé number of graphs ⋮ Nice pairs of disjoint pentagons in fullerene graphs ⋮ Nice pairs of odd cycles in fullerene graphs ⋮ Fullerene graphs have exponentially many perfect matchings ⋮ Shortest perfect pseudomatchings in fullerene graphs ⋮ Cyclic 7-edge-cuts in fullerene graphs ⋮ Super cyclically edge-connected vertex-transitive graphs of girth at least 5 ⋮ Super-cyclically edge-connected regular graphs ⋮ Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face ⋮ Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes ⋮ Characterizing the fullerene graphs with the minimum forcing number 3 ⋮ Exact square coloring of subcubic planar graphs ⋮ Bipartizing fullerenes ⋮ The isolated-pentagon rule and nice substructures in fullerenes ⋮ Sums of powers of the degrees of graphs with \(k\) cut edges ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ On the sextet polynomial of fullerenes ⋮ Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions ⋮ Fullerenes with the maximum Clar number ⋮ Atoms of cyclic edge connectivity in regular graphs ⋮ A Computer-Assisted Proof of the Barnette--Goodey Conjecture: Not Only Fullerene Graphs Are Hamiltonian ⋮ Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes ⋮ 2-resonant fullerenes

Cites Work

• On the number of Kekulé structures in capped zigzag nanotubes
• On lower bounds of number of perfect matchings in fullerene graphs
• Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages
• \(k\)-resonance of open-ended carbon nanotubes
• New lower bound on the number of perfect matchings in fullerene graphs
• On some structural properties of fullerene graphs
• The independence numbers of fullerenes and benzenoids

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