Bibliographic Details
| Title: |
Security in graphs |
| Authors: |
Brigham, Robert C.1, Dutton, Ronald D.1 dutton@cs.ucf.edu, Hedetniemi, Stephen T.2 |
| Source: |
Discrete Applied Mathematics. Aug2007, Vol. 155 Issue 13, p1708-1714. 7p. |
| Subjects: |
Graph theory, Algebra, Combinatorics, Topology |
| Abstract: |
Abstract: Let be a graph. A set is a defensive alliance if for every . Thus, each vertex of a defensive alliance can, with the aid of its neighbors in S, be defended from attack by its neighbors outside of S. An entire set S is secure if any subset can be defended from an attack from outside of S, under an appropriate definition of what such a defense implies. Necessary and sufficient conditions for a set to be secure are determined. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
