On the upper embedding of Steiner triple systems and Latin squares

被引：0

作者：

Griggs, Terry S. ^{[1
]}

McCourt, Thomas A. ^{[2
]}

Siran, Jozef ^{[1
,3
]}

机构：

[1] Open Univ, Sch Math & Stat, Milton Keynes MK7 6AA, Bucks, England

[2] Craigslea State High Sch, Brisbane, Qld 4032, Australia

[3] Slovak Univ Technol Bratislava, Bratislava 81005, Slovakia

来源：

ARS MATHEMATICA CONTEMPORANEA | 2020年 / 18卷 / 01期

关键词：

Upper embedding; Steiner triple system; Latin square; MAXIMUM GENUS EMBEDDINGS;

D O I：

10.26493/1855-3974.1959.9c7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that for any prescribed orientation of the triples of either a Steiner triple system or a Latin square of odd order, there exists an embedding in an orientable surface with the triples forming triangular faces and one extra large face.

引用

页码：127 / 135

页数：9

共 5 条

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Grannell, MJ
Griggs, TS
Sirán, J
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 2005, 26 (3-4) : 401 - 416
[2] MAXIMUM GENUS EMBEDDINGS OF LATIN SQUARES
Griggs, Terry S.
Psomas, Constantinos
Siran, Jozef
[J]. GLASGOW MATHEMATICAL JOURNAL, 2018, 60 (02) : 495 - 504
[3] JUNGERMAN M, 1978, T AM MATH SOC, V241, P401
[4] Kirkman T., 1847, Camb. Dublin Math. J., V2, P191
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