Irredundance, secure domination and maximum degree in trees
โ Scribed by E.J. Cockayne
- Book ID
- 108113691
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 148 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A vertex x in a subset X of vertices of an undirected graph is redundant if its dosed neighborhood is contained in the union of closed neighborhoods of vertices of X-{x}. In the context of a communications network, this means that any vertex that may receive communications from X may also be irdorme
The vertices of the queem;' graph {~, are the squares of an n ร n chessboard and two squares are adjacent ifa queen placed on one covers the other. It is shown that the domination num;~'r of Q. is at most 31n/54 + O(1), that Q. possesses minimal dominating sets of cardina~tty 5n/2 -O(l) and that the
In a graph G, a set X is called a stable set if any two vertices of X are nonadjacent. A set X is called a dominating set if every vertex of V-X is joined to at least one vertex of X. A set Xis called an irredundant set if every vertex of X, not isolated in X, has at least one proper neighbor, that