Reminescences

Note on the Resistance Distances in the Dodecahedron

István Lukovits ; Chemical Research Center, Hungarian Academy of Sciences, P O. Box 17, H-1525 Budapest, Hungary
Sonja Nikolić ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia
Nenad Trinajstić ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia

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 ali 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.

Keywords

dodecahedron; Platonic solids; resistance distance; Schlegel graph

Hrčak ID:

131970

URI

https://hrcak.srce.hr/131970

Publication date:

4.12.2000.

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