𝔖 Bobbio Scriptorium
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Application of structural numbers to graph partitioning

✍ 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

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πŸ“œ SIMILAR VOLUMES


On graphs critical with respect to verte
✍ Peter MihΓ³k πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 362 KB

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

Total chromatic number of complete r-par
✍ K. H. Chew; H. P. Yap πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 284 KB πŸ‘ 1 views

## Abstract Rosenfeld (1971) proved that the Total Colouring Conjecture holds for balanced complete __r__‐partite graphs. Bermond (1974) determined the exact total chromatic number of every balanced complete __r__‐partite graph. Rosenfeld's result had been generalized recently to complete __r__‐par