Diameters of random bipartite graphs
✍ Scribed by Béla Bollobás; Victor Klee
- Book ID
- 110564206
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- English
- Weight
- 485 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The bipartite kth nearest neighbor graphs B are studied. It is shown that B k 1 has a limiting expected matching number of approximately 80% of its vertices, that with high Ž . probability whp B has at least 2 log nr13 log log n vertices not matched, and that whp B 2 3 does have a perfect matching.
W e give constructions of bipartite graphs with maximum A, diameter D on B vertices. such :bat for every D 3 2 :he !im i nf , . . , B . A'"' = b,, > 0. W e also improve similar results on ordinary graphs, for example, w e prove that lim, , , N -A-." = 1 if D is 3 or 5. This is a partial answer to a