Perfect codes in the graphs Ok
β Scribed by P Hammond; D.H Smith
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 881 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A binary 1 βerrorβcorrecting code can always be embedded in a 1 βperfect code of some larger length. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 17: 419β423, 2009
In a graph G = (V, E), a set of vertices S is nearly perfect if every vertex in V-S is adjacent to at most one vertex in S. Nearly perfect sets are closely related to 2-packings of graphs, strongly stable sets, dominating sets and efficient dominating sets. We say a nearly perfect set S is 1-minimal
A code in a graph is a non-empty subset C of the vertex set V of . Given C, the partition of V according to the distance of the vertices away from C is called the distance partition of C. A completely regular code is a code whose distance partition has a certain regularity property. A special class