The obnoxious center problem in a graph G asks for a location on an edge of the graph such that the minimum weighted distance from this point to a vertex of the graph is as large as possible. An algorithm is given which ΓΏnds the obnoxious center on a weighted cactus graph in O(cn) time, where n is t
Median problems on wheels and cactus graphs
β Scribed by J. Hatzl
- Publisher
- Springer Vienna
- Year
- 2007
- Tongue
- English
- Weight
- 168 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0010-485X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A median graph is called compact if it does not contain an isometric ray. This property is shown to be equivalent to the finite intersection property for convex sets. We show that a compact median graph contains a finite cube that is fixed by all of its automorphisms, and that each family of commuti
The distance of a vertex u in a connected graph H is the sum of all the distances from u to the other vertices of H. The median M(H) of H is the subgraph of H induced by the vertices of minimum distance. For any graph G, let f ( G ) denote the minimum order of a connected graph H satisfying M(H) = G