Distances and volumina for graphs
✍ Scribed by D.J. Klein; H.‐Y. Zhu
- Book ID
- 118661136
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 210 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0259-9791
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let __G__ be a graph of order __n__. We show that if __G__ is a 2‐connected graph and max{__d(u), d(v)__} + |__N(u)__ U __N(v)__| ≥ __n__ for each pair of vertices __u, v__ at distance two, then either __G__ is hamiltonian or G 3K~n/3~ U T~1~ U T~2~, where n O (mod 3), and __T__~1~ a
The boolear? distance between twc points x and y of a connected graph G is defined as the set of all points on all paths joining x and y in G (@ if x = y). It is determined in terms of the block-cutpoint graph of G, and shown to satisfy the triangle inequality b(x, y)c\_ b(x, z)U b(z, y). We denote