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pro vyhledávání: '"Griggs, Terry S."'
Autor:
Erskine, Grahame, Griggs, Terry S.
Cycle switching is a particular form of transformation applied to isomorphism classes of a Steiner triple system of a given order $v$ (an $STS(v)$), yielding another $STS(v)$. This relationship may be represented by an undirected graph. An $STS(v)$ a
Externí odkaz:
http://arxiv.org/abs/2405.07750
Autor:
Erskine, Grahame, Griggs, Terry S.
Properties of the 62,336,617 Steiner triple systems of order 21 with a non-trivial automorphism group are examined. In particular, there are 28 which have no parallel class, six that are 4-chromatic, five that are 3-balanced, 20 that avoid the mitre,
Externí odkaz:
http://arxiv.org/abs/2401.13356
New results on pentagonal geometries PENT(k,r) with block sizes k = 3 or k = 4 are given. In particular we completely determine the existence spectra for PENT(3,r) systems with the maximum number of opposite line pairs as well as those without any op
Externí odkaz:
http://arxiv.org/abs/2007.10810
Autor:
Forbes, Anthony D., Griggs, Terry S.
The design spectrum has been determined for ten of the 15 graphs with six vertices and ten edges. In this paper we solve the design spectrum problem for the remaining five graphs with three possible exceptions.
Comment: 26 pages, including 15-pa
Comment: 26 pages, including 15-pa
Externí odkaz:
http://arxiv.org/abs/2004.08963
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.
Externí odkaz:
http://arxiv.org/abs/1911.07664
We solve the design spectrum problem for all theta graphs with 10, 11, 12, 13, 14 and 15 edges
Comment: 88 pages (including 74-page Appendix). Abridged version in Journal of Algorithms and Computation, volume 49
Comment: 88 pages (including 74-page Appendix). Abridged version in Journal of Algorithms and Computation, volume 49
Externí odkaz:
http://arxiv.org/abs/1703.01483
Autor:
Griggs, Terry S., Kozlik, Andrew R.
Publikováno v:
In Discrete Mathematics October 2021 344(10)
Publikováno v:
Can. Math. Bull. 59 (2016) 36-49
We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumeration results. We do this by considering a description of the quasigrou
Externí odkaz:
http://arxiv.org/abs/1411.5194
Autor:
Griggs, Terry S.
Publikováno v:
Mathematical Gazette; Jul2024, Vol. 108 Issue 572, p336-338, 3p
Publikováno v:
In Discrete Mathematics July 2017 340(7):1598-1611