Application of structural numbers to graph partitioning
β Scribed by A. N. Melikhov; V. M. Kureichik; A. F. Kuznetsov
- Book ID
- 105057955
- Publisher
- Springer US
- Year
- 1977
- Tongue
- English
- Weight
- 505 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For k 3 0, pk(G) den ot e s the Lick-White vertex partition number of G. A graph G is called (n, k)-critical 'f 't I I is connected and for each edge e of G Pk (G -e) < pk (G) = n. We describe all (2, k&critical graphs and for n 23, k 2 1 we extend and simplify a result of Bollobas and Harary giving
## Abstract Rosenfeld (1971) proved that the Total Colouring Conjecture holds for balanced complete __r__βpartite graphs. Bermond (1974) determined the exact total chromatic number of every balanced complete __r__βpartite graph. Rosenfeld's result had been generalized recently to complete __r__βpar