1. Wiener numbers of pericondensed benzenoid hydrocarbonsSandi Klavžar, Ivan Gutman, Amal Rajapakse, 1997, izvirni znanstveni članek Opis: Using a recently developed technique for the calculation of the Wiener number (W) of benzenoid systems, we determine explicit expressions for W for several homologous series of pericondensed benzenoid hydrocarbons. An elementary proof for the correctness of the used method is also included.
Ključne besede: mathematics, chemical graph theory, distance in graphs, Wiener number, benzenoids
Objavljeno v DKUM: 05.07.2017; Ogledov: 1455; Prenosov: 174
 Celotno besedilo (16,93 MB)
Gradivo ima več datotek! Več... |
2. |
3. A theorem on Wiener-type invariants for isometric subgraphs of hypercubesSandi Klavžar, Ivan Gutman, 2006, izvirni znanstveni članek Opis: Let ▫$d(G,k)$▫ be the number of pairs of vertices of a graph ▫$G$▫ that are at distance ▫$k$▫, ▫$lambda$▫ a real (or complex) number, and ▫$W_lambda(G) = sum_{k ge 1}d(G,k)k^lambda$▫. It is proved that for a partial cube ▫$G$▫, ▫$W_{lambda + 1}(G) = |mathcal{F}| W_lambda(G) - sum_{mathnormal{F} in mathcal{F}} W_lambda(G setminus F)$▫ where ▫$mathcal{F}$▫ is the partition of ▫$E(G)$▫ induced by the Djokovic-Winkler relation ▫$Theta$▫. This result extends a previously known result for trees and implies several relations for distance-based topological indices.
Ključne besede: mathematics, graph theory, graph distance, hypercube, partial cube, Wiener number, hyper-Wiener indeks
Objavljeno v DKUM: 10.07.2015; Ogledov: 1388; Prenosov: 127
 Povezava na celotno besedilo |
4. |
