Title
On the Szeged index of unicyclic graphs with given diameter.
Abstract
The Szeged index of a connected graph G is defined as Sz(G)=e=uvE(G)nu(e|G)nv(e|G),where E(G) is the edge set of G, and for any e=uvE(G), nu(e|G) is the number of vertices of G lying closer to vertex u than to v, and nv(e|G) is the number of vertices of G lying closer to vertex v than to u. In this paper, we characterize the graph with minimum Szeged index among all the unicyclic graphs with given order and diameter.
Year
DOI
Venue
2017
10.1016/j.dam.2017.08.009
Discrete Applied Mathematics
Keywords
Field
DocType
Szeged index,Wiener index,Unicyclic graph,Diameter
Graph,Discrete mathematics,Combinatorics,Wiener index,Vertex (geometry),Bound graph,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
233
C
0166-218X
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Yan Liu124173.08
Aimei Yu202.37
Mei Lu315131.01
Rongxia Hao416526.11