Let G be a connected graph and S β V (G). Then, the Steiner distance of S in G, denoted by d G (S), is the smallest number of edges in a connected subgraph of G that contains . Some general properties about the cycle structure of k-Steiner distance hereditary graphs are established. These are then
Steiner Distance-Hereditary Graphs
β Scribed by Day, D. P.; Oellermann, Ortrud R.; Swart, Henda C.
- Book ID
- 118198107
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1994
- Tongue
- English
- Weight
- 760 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Distance-hereditary graphs are graphs in which every two vertices have the same distance in every connected induced subgraph containing them. This paper studies distance-hereditary graphs from an algorithmic viewpoint. In particular, we present linear-time algorithms for finding a minimum weighted c
Let G be a connected graph and S a nonempty set of vertices of G. Then the Steiner distance d,(S) of S is the smallest number of edges in a connected subgraph of G that contains S. Let k, I, s and m be nonnegative integers with m > s > 2 and k and I not both 0. Then a connected graph G is said to be