## Abstract For a graph __G__ where the vertices are colored, the __colored distance__ of __G__ is defined as the sum of the distances between all unordered pairs of vertices having different colors. Then for a fixed supply __s__ of colors, __d~s~(G)__ is defined as the minimum colored distance ove
Average distance in weighted graphs
β Scribed by Peter Dankelmann
- Book ID
- 113567295
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 222 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The average distance p(G) of a graph G is the average among the distances between all pairs of vertices in G. For n 2 2, the average Steiner n-distance ,4G) of a connected graph G is the average Steiner distance over all sets of n vertices in G. It is shown that for a connected weighted graph G, pu,
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