𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Embeddings of Sλ(2, 4, v)

✍ Scribed by G. Kong; L. Zhu


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
387 KB
Volume
2
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


It is shown that the necessary condition for a given SA(2,4,u) to be embedded in some S ~( 2 , 4 , v )

as a subdesign, namely v 2 3 u + 1, is also sufficient for the case of A = 6.

Combining this with the previously known results gives the same sufficiency for any positive integer A.


📜 SIMILAR VOLUMES


On the existence of pure (v, 4, λ)-PMD w
✍ Lu Qinglin 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 591 KB

In this article, we investigate the existence of pure (v,4,A)-PMD with A = 1 and 2, and obtain the following results: (1) a pure (v, 4,1)-PMD exists for every positive integer Y = 0 or 1 (mod 4) with the exception of v = 4 and 8 and the possible exception of v = 12; (2) a pure (v,4,2)-PMD exists for

Closed 2-cell embeddings of 4 cross-cap
✍ Xiaoya Zha 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 874 KB

A closed 2-cell embedding of a graph embedded in some surface is an embedding such that each face is bounded by a circuit in the graph. The strong embedding conjecture says that every 2-connected graph has a closed 2-cell embedding in some surface. A graph is called k cross-cap embeddable if it can