Path-Factors in the Square of a Tree
β Scribed by Xiaojuan Li; Zhao Zhang
- Book ID
- 106047720
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 144 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This article describes methods for finding an optimal location for a path-shaped or tree-shaped facility of a specified size in a tree network. Four optimization criteria are examined: minimizing distancesum, minimizing eccentricity, maximizing distancesum, and maximizing eccentricity.
Consider a collection of disjoint paths in graph G such that every vertex is on one of these paths. The size of the smallest such collection is denoted i(G). A procedure for forming such collections is established. Restricting attention to trees, the range of values for the sizes of the collections