On the upper embedding of Steiner triple systems and Latin squares
Ars mathematica contemporanea, Volume 18 (2020) no. 1, pp. 127-135
See the original article notice from the Ars Mathematica Contemporanea website source
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.
Terry S. Griggs; Thomas A. McCourt; Jozef Širáň. On the upper embedding of Steiner triple systems and Latin squares. Ars mathematica contemporanea, Volume 18 (2020) no. 1, pp. 127-135. doi: 10.26493/1855-3974.1959.9c7
@article{10_26493_1855_3974_1959_9c7,
author = {Terry S. Griggs and Thomas A. McCourt and Jozef \v{S}ir\'a\v{n}},
title = {
{On} the upper embedding of {Steiner} triple systems and {Latin} squares
},
journal = {Ars mathematica contemporanea},
pages = {127--135},
year = {2020},
volume = {18},
number = {1},
doi = {10.26493/1855-3974.1959.9c7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1959.9c7/}
}
TY - JOUR AU - Terry S. Griggs AU - Thomas A. McCourt AU - Jozef Širáň TI - On the upper embedding of Steiner triple systems and Latin squares JO - Ars mathematica contemporanea PY - 2020 SP - 127 EP - 135 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1959.9c7/ DO - 10.26493/1855-3974.1959.9c7 LA - en ID - 10_26493_1855_3974_1959_9c7 ER -
%0 Journal Article %A Terry S. Griggs %A Thomas A. McCourt %A Jozef Širáň %T On the upper embedding of Steiner triple systems and Latin squares %J Ars mathematica contemporanea %D 2020 %P 127-135 %V 18 %N 1 %U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1959.9c7/ %R 10.26493/1855-3974.1959.9c7 %G en %F 10_26493_1855_3974_1959_9c7
Cited by Sources: