The number of colours needed to colour the blocks of a cyclic Steiner <mml:math alttext="$2$" id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>2</mml:mn></mml:math>-design <mml:math alttext="$S\left( {2,k,v} \right)$" id="E3" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>v</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> is at most <mml:math alttext="$v$" id="E4" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>v</mml:mi></mml:math>.

International Journal of Mathematics and Mathematical Sciences

The chromatic index of cyclic Steiner 2-designs

Abstract

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