Wiener Index of Trees: Theory and Applications

By A. Dobrynin, R. Entringer, Ivan Gutman. 2001

1,157 citations recorded by the source corpus.

Subfields: Geometry and Topology, Organic Chemistry, Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/7a498d6cef22d72dc6bf8da90f145ea8f5d9fece

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Ivan Gutman
2. Boris Furtula
3. Bo Zhou
4. Aleksandar Ilić
5. K. C. Das
6. Ali Ahmad
7. Lihua Feng
8. Kexiang Xu

In Organic Chemistry

1. Boris Furtula
2. Ivan Gutman
3. Bo Zhou
4. K. C. Das
5. Aleksandar Ilić
6. Ali Ahmad
7. Lihua Feng
8. Zhibin Du

In Physical and Theoretical Chemistry

1. Aleksandar Ilić
2. Guihai Yu
3. Lihua Feng
4. Bo Zhou
5. Ali Iranmanesh
6. Stephan G. Wagner
7. Chunxiang Wang
8. Bing Wei

Citations in the corpus

• Degree resistance distance of unicyclic graphs (2012, background): “The Wiener index is the sum of distances between all unordered pairs of vertices (1.1) W (G) = X fu,vg V (G) d(u, v) .”
• Computation of Topological Indices of Some Graphs (2010, neutral): “[3, 5, 9, 10].”
• A connection between ordinary and Laplacian spectra of bipartite graphs (2008, background): “The Wiener index (1⁄4 sum of distances between all pairs of vertices [2]) of T is equal to”
• 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, background): “Currently, various work relating Wiener index, Sz index and their chemical meaning have been already studied, referred to the surveys [2, 9, 10, 13].”
• Eccentric connectivity index (2011, positive): “The parameter D′(G) is called the degree distance of G and it was introduced by Dobrynin and Kochetova [9] and Gutman [19] as a weighted version of the Wiener index [8] D(G) = ∑”
• MINIMUM WIENER INDICES OF TREES AND UNICYCLIC GRAPHS OF GIVEN MATCHING NUMBER (2010, background): “Some properties of the Wiener index for trees may be found in [4, 10] and for unicyclic graphs in [13, 16].”
• Chemical Graphs Constructed from Rooted Product and Their Zagreb Indices (2013, background): “A dendrimer tree k d T , is a rooted tree such that the degree of its non-pendent vertices is equal to d and the distance between the rooted (central) vertex and the pendent vertices is equal to k [24], see Fig.”
• A Class of Trees and its Wiener Index (2006, background): “There is a lot of mathematical and chemical literature on the Wiener index, especially on the Wiener index of trees – [2] gives a summary of known results and open problems and conjectures.”
• On the Wiener Index of Trees with Fixed Diameter (2008, background): “The vast majority of chemical applications of the Wiener index deal with acyclic organic molecules; for reviews see [4, 5, 6, 8].”
• On Distance Spectral Radius and Distance Energy of Graphs (2011, background): “The Wiener index [26, 27] of a connected graph G is defined as W (G) = ∑”