Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages

From MaRDI portal
Publication:1397283

DOI10.1023/A:1023299815308zbMath1018.92036MaRDI QIDQ1397283

Tomislav Došlić

Publication date: 27 July 2003

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




Related Items (51)

The anti-Kekulé number of graphsNice pairs of disjoint pentagons in fullerene graphsNice pairs of odd cycles in fullerene graphsPacking stars in fullerenesFinding more perfect matchings in leapfrog fullerenesFullerene graphs have exponentially many perfect matchingsShortest perfect pseudomatchings in fullerene graphsCyclic 7-edge-cuts in fullerene graphsDistances on nanotubical structuresConstruction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal faceCharacterizing the fullerene graphs with the minimum forcing number 3Reducing an arbitrary fullerene to the dodecahedronExact square coloring of subcubic planar graphs𝐵-rigidity of the property to be an almost Pogorelov polytopeOn the maximum forcing and anti-forcing numbers of \((4, 6)\)-fullerenes2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenesMaximal resonance of cubic bipartite polyhedral graphsAt least half of the leapfrog fullerene graphs have exponentially many Hamilton cyclesOn the anti-Kekulé number of (4, 5, 6)-fullerenesCohomological rigidity of manifolds defined by 3-dimensional polytopesRight-angled polyhedra and hyperbolic 3-manifoldsHexagonal resonance of (3,6)-fullerenesDistance-restricted matching extendability of fullerene graphsOn forcing matching number of boron-nitrogen fullerene graphsOn the anti-Kekulé number and odd cycle transversal of regular graphsA note on the cyclical edge-connectivity of fullerene graphsThe isolated-pentagon rule and nice substructures in fullerenesOn bicriticality of (3,6)-fullerene graphsLeapfrog fullerenes have many perfect matchingsCyclic edge-cuts in fullerene graphsTheory of families of polytopes: fullerenes and Pogorelov polytopesOn correlation of hyperbolic volumes of fullerenes with their propertiesOn cyclic edge-connectivity of fullerenesExtremal fullerene graphs with the maximum Clar numberForcing matching numbers of fullerene graphsCounting clar structures of \((4,6)\)-fullerenesOn some structural properties of generalized fullerene graphs with 13 pentagonal facesRestricted 2-extendability of (3,6)-fullerenesOn Certain Graph Theory ApplicationsOn the anti-Kekulé problem of cubic graphsThree-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructionsFullerenes with the maximum Clar numberAn upper bound for the Clar number of fullerene graphsFullerene graphs with exponentially many perfect matchingsOn decompositions of leapfrog fullerenesOn the anti-Kekulé number of leapfrog fullerenesPacking resonant hexagons in fullerenesConstructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopesCohomological rigidity of families of manifolds associated with ideal right-angled hyperbolic 3-polytopesGeometric biplane graphs. I: Maximal graphs2-resonant fullerenes




This page was built for publication: Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages