Title
Nordhaus-Gaddum-type theorem for Wiener index of graphs when decomposing into three parts
Abstract
Let K"n be the complete graph of order n. Assume that (G"1,G"2,G"3) is a 3-decomposition of K"n such that G"i is connected for each i=1,2,3. Then for any sufficiently large n, 5n2@?@?i=13W(G"i)@?n^3-n3+n2+2(n-1). We also prove that both bounds are best possible.
Year
DOI
Venue
2011
10.1016/j.dam.2011.06.016
Discrete Applied Mathematics
Keywords
Field
DocType
diameter,wiener index,complete graph,order n,nordhaus-gaddum-type theorem,large n,decomposition
Complete graph,Graph,Discrete mathematics,Combinatorics,Wiener index,Function composition,Mathematics
Journal
Volume
Issue
ISSN
159
15
Discrete Applied Mathematics
Citations 
PageRank 
References 
5
0.49
12
Authors
4
Name
Order
Citations
PageRank
Daobin Li1111.42
Baoyindureng Wu29924.68
Xunuan Yang350.83
Xinhui An4185.55