## Abstract A (plane) 4βregular map __G__ is called __C__βsimple if it arises as a superposition of simple closed curves (tangencies are not allowed); in this case Ο (__G__) is the smallest integer __k__ such that the curves of __G__ can be colored with __k__ colors in such a way that no two curves
Erratum: On the edge-coloring problem for a class of 4-regular maps
β Scribed by F. Jaeger; H. Shank
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 37 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
On p. 272 of the above article, paragraph # 3 is incomplete. It should read as the following:
Hence to prove Proposition 4 it is enough to show that the edges of Q 4 can be colored with 4 colors in such a way that each square has one edge of each color. Such a coloring is displayed on the following diagram, thus completing the proof.
π SIMILAR VOLUMES
The main goal of this paper is to study the linearization of an inverse medium problem. Regularity and stability results are established for the near-field scattering Ε½ . map or scattering matrix which maps the scatterer to the scattered field. Properties on continuity and Frechet differentiability
## Abstract We discuss the efficiency of the conjugate gradient (CG) method for solving a sequence of linear systems; __Au__^__n__+1^ = __u__^__n__^, where __A__ is assumed to be sparse, symmetric, and positive definite. We show that under certain conditions the Krylov subspace, which is generated
## Abstract Extending the investigations initiated in an earlier paper, the authors deal in this paper with the solutions of another class of initialβboundary value problems for which continuous dependence inequalities on the geometry and the initial time are established. Copyright Β© 2007 John Wile