Title
Distinguishing numbers of Cartesian products of multiple complete graphs
Abstract
We examine the distinguishing number of the Cartesian product of an arbitrary number of complete graphs. We show that for u(1) <= ... <= u(d) the distinguishing number of the Cartesian product of complete graphs of these sizes is either inverted right perpendicularu(d)(1/s)inverted left perpendicular or inverted right perpendicularu(d)(1/s)inverted left perpendicular + 1 where s - Pi(d-1)(i=1)u(i). In most cases, which of these values it is can be explicitly determined.
Year
DOI
Venue
2012
10.26493/1855-3974.245.348
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
Cartesian product,complete graph,distinguishing number
Graph,Discrete mathematics,Combinatorics,Cartesian product,Mathematics,U-1
Journal
Volume
Issue
ISSN
5
1
1855-3966
Citations 
PageRank 
References 
1
0.37
6
Authors
2
Name
Order
Citations
PageRank
michael j fisher110.37
Garth Isaak217224.01