Embedding an incomplete diagonal Latin square in a complete diagonal Latin square
نویسندگان
چکیده
منابع مشابه
Embedding a Latin square with transversal into a projective space
Article history: Received 20 May 2010 Available online xxxx
متن کاملFolding the Square - Diagonal Lattice
We study the problem of " phantom " folding of the two-dimensional square lattice, in which the edges and diagonals of each face can be folded. The non-vanishing thermodynamic folding entropy per face s ≃ .2299(1) is estimated both analytically and numerically, by successively mapping the model onto a dense loop model, a spin model and a new 28 Vertex, 4-color model. Higher dimensional generali...
متن کاملRandom Latin square graphs
In this paper we introduce new models of random graphs, arising from Latin squares which include random Cayley graphs as a special case. We investigate some properties of these graphs including their clique, independence and chromatic numbers, their expansion properties as well as their connectivity and Hamiltonicity. The results obtained are compared with other models of random graphs and seve...
متن کاملRank 3 Latin square designs
A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group,
متن کاملFolding Transitions of the Square-Diagonal Lattice
We address the problem of ”phantom” folding of the tethered membrane modelled by the two-dimensional square lattice, with bonds on the edges and diagonals of each face. Introducing bending rigidities K1 and K2 for respectively long and short bonds, we derive the complete phase diagram of the model, using transfer matrix calculations. The latter displays two transition curves, one corresponding ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1973
ISSN: 0097-3165
DOI: 10.1016/s0097-3165(73)80001-9