Title
Counterexamples to the conjecture on orientations of graphs with minimum Wiener index.
Abstract
In Knor et al. (2016) authors conjectured that for a graph G, Wmin(G) is achieved for a χ(G)-coloring-induced orientation. They also proved the conjecture holds for bipartite graphs, complete graphs, prisms and Petersen graph.
Year
DOI
Venue
2017
10.1016/j.dam.2017.07.007
Discrete Applied Mathematics
Keywords
Field
DocType
Wiener index,Directed graph,Orientation
Discrete mathematics,Odd graph,Combinatorics,Indifference graph,Forbidden graph characterization,Pathwidth,Petersen graph,Universal graph,1-planar graph,Mathematics,Pancyclic graph
Journal
Volume
Issue
ISSN
232
C
0166-218X
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Yibin Fang100.34
Yu-Bin Gao267.70