Wiener Index of Hexagonal Systems

By A. Dobrynin, Ivan Gutman, S. Klavžar, Petra Zigert. 2002

411 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/b69d2068a61db9da2d38a3d8232ea7fb6ff271e6

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In Computational Theory and Mathematics

In Geometry and Topology

In Physical and Theoretical Chemistry

Citations in the corpus

The third and hyper-Zagreb coindices of some graph operations (2016, background): “It is equal to the sum of distances between all pairs of vertices of the respective graph, see for details [4,5,22].”
On the eccentric distance sum of graphs (2011, positive): “It is considered as one of the most used topological index with high correlation with many physical and chemical indices of molecular compounds (for the recent survey on Wiener index see [8,9]).”
Computation of Topological Indices of Some Graphs (2010, neutral): “[3, 5, 9, 10].”
THE EDGE VERSIONS OF THE WIENER INDEX (2009, methodology): “The other edge-Wiener indices can then be computed by using the relations (9) and (10) and by bearing in mind that Pn , Sn , Cn , Kn , and Ka,b have n − 1 , n − 1 , n , n(n − 1)/2 , and ab edges, respectively.”
Distance‐based topological descriptors for measuring the π‐electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes (2020, neutral): “The degree-distance is a degree-distance-based topological descriptor put forward by Dobrynin et al. 39 in their seminal paper on the degree-distance in a graph.”
CACTI WITH EXTREMAL PI INDEX (2016, methodology): “er of vertices w ∈ V(G) such that d(x,w) >d(y,w) and w 6= x,y. Currently, various work relating Wiener index, Sz index and their chemical meaning have been already studied, referred to the surveys [2, 9, 10, 13]. Based on the considerable success of Wiener index and Sz index, Khadikar[17] propose”
The first and second Zagreb indices of some graph operations (2009, background): “It is equal to the sum of distances between all pairs of vertices of the respective graph, see for details [3,4, 19].”
A Survey on Graphs Extremal with Respect to Distance-Based Topological Indices (2014, background): “Anyway, also in contemporary mathematical literature W (G) is usually referred to as the Wiener index [31,32, 41,53,96, 134,151] Wiener himself named WP (G) polarity number , and this quantity is nowadays usually -462-”