Note on the resistance distances in the dodecahedron

Lukovitis, Istvan; Nikolić, Sonja; Trinajstić, Nenad (2000) Note on the resistance distances in the dodecahedron. Croatica Chemica Acta, 73 (4). pp. 957-967. ISSN 0011-1643

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Abstract

Resistance distances in the regular dodecahedron are computed. This report together with our previous paper (see Ref. 2) completes the study of resistance distances in Platonic solids (the tetrahedron, the cube, the octahedron, the icosahedron and the dodecahedron). The sum over the resistance distances between all pairs of vertices in a graph is a graph invariant. It is used to order Platonic solids according to the complexity of their Schlegel graphs.

Item Type:	Article
Uncontrolled Keywords:	dodecahedron; Platonic solids; resistance distance; Schlegel graph; topological index; complexity; graphs
Subjects:	NATURAL SCIENCES > Chemistry
Divisions:	Division for Marine and Enviromental Research Division of Physical Chemistry
Projects:	Project title Project leader Project code Project type Razvoj i primjena modela u kemiji Nenad Trinajstić 00980606 MZOS
Depositing User:	Nenad Trinajstić
Date Deposited:	10 Oct 2013 08:50
URI:	http://fulir.irb.hr/id/eprint/759

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