Two new nearly Kirkman triple systems

A.E. Brouwer

Two new nearly Kirkman triple systems

A.E. Brouwer

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Baker and Wilson constructed nearly Kirkman triple systems NKTS(6t) = RDG(3,1,2;6t) for all t = 3 except t = 14, 17, 29. Here we give a direct construct ion of an NKTS(6t) for all odd t, t = 11. In particular this solves the cases t = 17, 29 so that t = 14 remains the last unsolved case.

Originele taal-2	Engels
Pagina's (van-tot)	311-314
Tijdschrift	Utilitas Mathematica
Volume	13
Status	Gepubliceerd - 1978

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title = "Two new nearly Kirkman triple systems",

abstract = "Baker and Wilson constructed nearly Kirkman triple systems NKTS(6t) = RDG(3,1,2;6t) for all t = 3 except t = 14, 17, 29. Here we give a direct construct ion of an NKTS(6t) for all odd t, t = 11. In particular this solves the cases t = 17, 29 so that t = 14 remains the last unsolved case.",

author = "A.E. Brouwer",

year = "1978",

language = "English",

volume = "13",

pages = "311--314",

journal = "Utilitas Mathematica",

issn = "0315-3681",

publisher = "Utilitas Mathematica Publishing Inc.",

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TY - JOUR

T1 - Two new nearly Kirkman triple systems

AU - Brouwer, A.E.

PY - 1978

Y1 - 1978

N2 - Baker and Wilson constructed nearly Kirkman triple systems NKTS(6t) = RDG(3,1,2;6t) for all t = 3 except t = 14, 17, 29. Here we give a direct construct ion of an NKTS(6t) for all odd t, t = 11. In particular this solves the cases t = 17, 29 so that t = 14 remains the last unsolved case.

AB - Baker and Wilson constructed nearly Kirkman triple systems NKTS(6t) = RDG(3,1,2;6t) for all t = 3 except t = 14, 17, 29. Here we give a direct construct ion of an NKTS(6t) for all odd t, t = 11. In particular this solves the cases t = 17, 29 so that t = 14 remains the last unsolved case.

M3 - Article

SN - 0315-3681

VL - 13

SP - 311

EP - 314

JO - Utilitas Mathematica

JF - Utilitas Mathematica

ER -

Two new nearly Kirkman triple systems

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