Naslov
Resistance distance in regular graphs

Autori
Lukovits, Istvan ; Nikolić, Sonja ; Trinajstić, Nenad

Izvornik
International journal of quantum chemistry (0020-7608) 71 (1999), 3; 217-225

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Sažetak
This report considers the resistance distance as a recently proposed new intrinsic metric on (molecular) graphs, and in particular, the sum R over resistance distances between all pairs of vertices is considered as a graph invariant. It has been proved that R(G(N)) > R(K-N), where G(N) denotes a connected graph containing N vertices and K-N denotes a complete graph containing N vertices. The formulas to obtain the R for two classes of regular graphs (cycles and complete graphs) are derived. Numerical values of R for four Platonic molecules are also given. They ordered the considered Platonic solids as the icosahedron, the cube, the octahedron, and the tetrahedron according to complexity of their Schlegel graphs. This order agrees with those obtained by many other, frequently used descriptors. (C) 1999 John Wiley & Sons, Inc.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

POVEZANOST RADA