Bounds on the convex label number of trees
β Scribed by Marshall Bern; Alice Wong; Maria Klawe
- Book ID
- 110564346
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- English
- Weight
- 650 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A convex labeling of a tree T o f order n is a one-to-one function f from the vertex set of Tinto the nonnegative integers, so that f ( y ) 5 ( f ( x ) t f(z))/2 for every path x, y, z of length 2 in T. If, in addition, f (v) I n -1 for every vertex v of T, then f is a perfect convex labeling and T
The achromatic number ~b(G) of a simple graph G is the largest number of colours possible in a proper vertex colouring of G in which each pair of coiours appears on at least one edge. The problem of determining the achromatic number of a tree is known to be NP-hard (Cairnie and Edwards, 1997). In t