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Generalized operations on maps

Diudea, Mirchea V.; Stefu, Monica; John, Peter E.; Graovac, Ante (2006) Generalized operations on maps. Croatica Chemica Acta, 79 (3). pp. 355-362. ISSN 0011-1643

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A map M is a combinatorial representation of a closed surface. Convex polyhedra, starting from the Platonic solids and going to spherical fullerenes, can be operated to obtain new objects, with a larger number of vertices and various tiling. Three composite map operations: leapfrog, chamfering and capra, play a central role in the fullerenes construction and their electronic properties. Generalization of the above operations leads to a series of transformations, characterized by distinct, successive pairs in the Goldberg multiplication formula m(a,b). Parents and products of most representative operations are illustrated.

Item Type: Article
Uncontrolled Keywords: operations on maps; fullerenes; perfect Clar structures; perfect Corannulenic structures; negatively curved units; carbon clusters; ring currents; leapfrog; polyhedra; transformations; fullerenes; graphite
Subjects: NATURAL SCIENCES > Chemistry
Divisions: NMR Center
Depositing User: Virna Brumnić
Date Deposited: 28 Oct 2013 10:46

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