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
A parity domination problem in graphs with bounded treewidth and distance-hereditary graphs
β Scribed by Elisabeth Gassner; Johannes Hatzl
- Publisher
- Springer Vienna
- Year
- 2008
- Tongue
- English
- Weight
- 268 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0010-485X
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π SIMILAR VOLUMES
A distance-hereditary graph is a connected graph in which every induced path is isometric, i.e., the distance of any two vertices in an induced path equals their distance in the graph. We present a linear time labeling algorithm for the minimum cardinality connected r-dominating set and Steiner tree
## Abstract MacGillivray and Seyffarth (J Graph Theory 22 (1996), 213β229) proved that planar graphs of diameter two have domination number at most three and planar graphs of diameter three have domination number at most ten. They also give examples of planar graphs of diameter four having arbitrar