Note on the Resistance Distances in the Dodecahedron

I. Lukovits, Sonja Nikolić, Nenad Trinajstić

Research output: Contribution to journalArticle

31 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)957-967
Number of pages11
JournalCroatica Chemica Acta
Volume73
Issue number4
Publication statusPublished - Dec 2000

Keywords

  • Dodecahedron
  • Platonic solids
  • Resistance distance
  • Schlegel graph

ASJC Scopus subject areas

  • Chemistry(all)

Cite this

Lukovits, I., Nikolić, S., & Trinajstić, N. (2000). Note on the Resistance Distances in the Dodecahedron. Croatica Chemica Acta, 73(4), 957-967.

Note on the Resistance Distances in the Dodecahedron. / Lukovits, I.; Nikolić, Sonja; Trinajstić, Nenad.

In: Croatica Chemica Acta, Vol. 73, No. 4, 12.2000, p. 957-967.

Research output: Contribution to journalArticle

Lukovits, I, Nikolić, S & Trinajstić, N 2000, 'Note on the Resistance Distances in the Dodecahedron', Croatica Chemica Acta, vol. 73, no. 4, pp. 957-967.
Lukovits I, Nikolić S, Trinajstić N. Note on the Resistance Distances in the Dodecahedron. Croatica Chemica Acta. 2000 Dec;73(4):957-967.
Lukovits, I. ; Nikolić, Sonja ; Trinajstić, Nenad. / Note on the Resistance Distances in the Dodecahedron. In: Croatica Chemica Acta. 2000 ; Vol. 73, No. 4. pp. 957-967.
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