Covering Complete r-Graphs with Spanning Complete r-Partite r-Graphs
✍ Scribed by CIOABĂ, SEBASTIAN M.; KÜNDGEN, ANDRÉ; TIMMONS, CRAIG M.; VYSOTSKY, VLADISLAV V.
- Book ID
- 120309535
- Publisher
- Cambridge University Press
- Year
- 2011
- Tongue
- English
- Weight
- 563 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0963-5483
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📜 SIMILAR VOLUMES
We show that the connectivities of line graphs of multipartite graphs equal the minimum valency. ## I. Introduction In order to solve degeneracy problems in linear optimization the so-called degeneracy graphs, assigned to a degenerate vertex x of the feasible solution set, have proved to be usefu
## 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
If rjn À 1 and rn is even, then K n can be expressed as the union of t nÀ1 r edgedisjoint isomorphic r-regular r-connected factors.
A graph G is m-partite if its points can be partitioned into m subsets Yl, . . . . Vm such that every line joins a point in Vi with a point in Vi, i + j. A complete m-partite graph contains every line joining Vi with V-. A complete graph Kp has every pair of its p points adjacent. The nth interchang