𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algebraic Representation of Additive Structures with an Infinite Number of Components

✍ Scribed by Ronald Hübner; Reinhard Suck

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
255 KB
Volume
37
Category
Article
ISSN
0022-2496

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Note on the reconstruction of infinite g
Note on the reconstruction of infinite graphs with a fixed finite number of components
✍ Thomas Andreae 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 1 views

For every positive integer c , we construct a pair G, , H, of infinite, nonisomorphic graphs both having exactly c components such that G, and H, are hypomorphic, i.e., G, and H, have the same families of vertex-deleted subgraphs. This solves a problem of Bondy and Hemminger. Furthermore, the pair G

An Infinite Series of Surfaces with Know
An Infinite Series of Surfaces with Known 1-Chromatic Number
✍ Vladimir P. Korzhik 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 295 KB

The 1-chromatic number / 1 (S) of a surface S is the maximum chromatic number of all graphs which can be drawn on the surface so that each edge is crossed by no more than one other edge. It is proved that if 4n+3 is a prime number, n 0, then / 1 (N 8(2n+1) 2) =R(N 8(2n+1) 2) where R(S)=w 1 2 (9+-81&

Simultaneous Representation of Integers
Simultaneous Representation of Integers by a Pair of Ternary Quadratic Forms—With an Application to Index Form Equations in Quartic Number Fields
✍ István Gaál; Attila Pethő; Michael Pohst 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 411 KB

Let Q 1 , Q 2 # Z[X, Y, Z] be two ternary quadratic forms and u 1 , u 2 # Z. In this paper we consider the problem of solving the system of equations (1) Q 2 (x, y, z)=u 2 in x, y, z # Z with gcd(x, y, z)=1. According to Mordell [12] the coprime solutions of can be presented by finitely many expr