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- W2009103618 abstract "A Steiner 2- ( v , 3 ) trade is a pair ( T 1 , T 2 ) of disjoint partial Steiner triple systems, each on the same set of v points, such that each pair of points occurs in T 1 if and only if it occurs in T 2 . A Steiner 2- ( v , 3 ) trade is called d -homogeneous if each point occurs in exactly d blocks of T 1 (or T 2 ). In this paper we construct minimal d -homogeneous Steiner 2- ( v , 3 ) trades of foundation v and volume dv / 3 for sufficiently large values of v . (Specifically, v > 3 ( 1.75 d 2 + 3 ) if v is divisible by 3 and v > d ( 4 d / 3 + 1 + 1 ) otherwise.)" @default.
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- W2009103618 date "2008-03-01" @default.
- W2009103618 modified "2023-09-26" @default.
- W2009103618 title "Minimal homogeneous Steiner 2-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>v</mml:mi><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> trades" @default.
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- W2009103618 doi "https://doi.org/10.1016/j.disc.2007.07.060" @default.
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