%0 Journal Article %T 2-Exponents of Two-Coloured Lollipops %A Saib Suwilo %J Matematika %D 2008 %I Universiti Teknologi Malaysia %X This paper shows that for an asymmetric primitive two-coloured (n,s)-lollipop on n vertices with s ¡Ü 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. %K Two-coloured digraphs %K primitive %K 2-exponents. %U http://www.fs.utm.my/matematika/images/stories/matematika/20082412.pdf