Title
Resistance distance in complete n-partite graphs.
Abstract
We may view any graph as a network of resistors each having a resistance of 1 Ω. The resistance distance between a pair of vertices in a graph is defined as the effective resistance between the two vertices. This function is known to be a metric on the vertex-set of any graph. The main result of this paper is an explicit expression for the resistance distance between any pair of vertices in the complete n-partite graph Km1,m2,…,mn.
Year
DOI
Venue
2016
10.1016/j.dam.2015.09.017
Discrete Applied Mathematics
Keywords
Field
DocType
Resistance,Resistors in series or parallel,Kirchoff’s laws,Complete n-partite graph
Wheel graph,Complete graph,Discrete mathematics,Combinatorics,Graph power,Cycle graph,Distance,Distance-regular graph,Resistance distance,Mathematics,Complement graph
Journal
Volume
ISSN
Citations 
203
0166-218X
4
PageRank 
References 
Authors
0.68
1
1
Name
Order
Citations
PageRank
Severino V. Gervacio1226.38