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2-Exponents of Two-Coloured Lollipops

Author(s): Saib Suwilo

Journal: Matematika
ISSN 0127-8274

Volume: 24;
Issue: 1;
Start page: 11;
Date: 2008;
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Keywords: Two-coloured digraphs | primitive | 2-exponents.

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.
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