The Edge Version of the Szeged Index

By Ivan Gutman, Ali Reza Ashrafi. 2008

110 citations recorded by the source corpus.

The Szeged index is a molecular structure descriptor equal to the sum of products n u (e | G) n v (e [ G) over all edges e = (uv) of the molecular graph G, where n u (e | G) is the number of vertices whose distance to vertex u is smaller than the distance to vertex u, and where n v (e | G) is defined analogously. We now examine the edge version of the Szeged index: the sum of products m u (e | G) m v (e | G) over all edges e = (uv) of the molecular graph G, where m u (e | G) is the number of edges whose distance to vertex u is smaller than the distance to vertex v, and where m v (e | G) is defined analogously. The basic properties of this novel structure descriptor are established. Most of these are analogous to the properties of the ordinary Szeged index, but some remarkable differences are also recognized.

View Paper: https://www.semanticscholar.org/paper/3c19f52dd4db2dc638d87b266ff95a1194ad87be

How researchers see this paper

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

1. Boris Furtula
2. Ivan Gutman
3. K. C. Das
4. Ernesto Estrada
5. Bo Zhou
6. Ali Ahmad
7. A. Güngör
8. Michael S. Cavers

Citations in the corpus

• Survey on Geometric-Arithmetic Indices of Graphs (2011, background): “Similarly to GA2 , the third geometric–arithmetic index is defined so as to be related to the recently introduced edge Szeged (Sze) index [36] and edge Padmakar–Ivan (PIe) index [60].”