Academic Journals Database
Disseminating quality controlled scientific knowledge

2-Exponents of Two-Coloured Lollipops

ADD TO MY LIST
 
Author(s): Saib Suwilo

Journal: Matematika
ISSN 0127-8274

Volume: 24;
Issue: 1;
Start page: 11;
Date: 2008;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Two-coloured digraphs | primitive | 2-exponents.

ABSTRACT
This paper shows that for an asymmetric primitive two-coloured (n,s)-lollipop on n vertices with s ≤ n; its 2-exponent is at most (s² -1)/2+(s+1)(n-s). The (n,s)-lollipops whose 2-exponents achieving the bound is characterised and for any asymmetric primitive two-coloured (n,s)-lollipop, a simple algorithm to find its exponent is presented.
Why do you need a reservation system?      Save time & money - Smart Internet Solutions