Let D = (V1, V2; A) be a directed bipartite graph with II/11 = 11/21 = n ~> 2. Suppose that do(x) + do(y) >~ 3n + 1 for all xe I/1 and ye V2. Then D contains two vertex-disjoint directed cycles of lengths 2nl and 2n2, respectively, for any positive integer partition n = n~ + n2. Moreover, the condit
โฆ LIBER โฆ
On a Conjecture on Directed Cycles in a Directed Bipartite Graph
โ Scribed by Charles Little,Kee Teo,Hong Wang
- Book ID
- 126339575
- Publisher
- Springer Japan
- Year
- 1997
- Tongue
- English
- Weight
- 857 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Partition of a directed bipartite graph
โ
Hong Wang; Charles Little; Kee Teo
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 356 KB
Proof of a conjecture on cycles in a bip
โ
Wang, Hong
๐
Article
๐
1999
๐
John Wiley and Sons
๐
English
โ 244 KB
๐ 2 views
It was conjectured in [Wang, to appear in The Australasian Journal of Combinatorics] that, for each integer k โฅ 2, there exists . This conjecture is also verified for k = 2, 3 in [Wang, to appear; Wang, manuscript]. In this article, we prove this conjecture to be true if n โฅ 3k, i.e., M (k) โค 3k. W
On Independent Cycles in a Bipartite Gra
โ
Hong Wang
๐
Article
๐
2001
๐
Springer Japan
๐
English
โ 104 KB
On Covering a Bipartite Graph with Cycle
โ
Wang, Hong
๐
Article
๐
2001
๐
Society for Industrial and Applied Mathematics
๐
English
โ 186 KB
A formal model of concurrent systems bas
โ
Masaki Murakami
๐
Article
๐
2006
๐
Elsevier Science
๐
English
โ 271 KB
Subharmonic functions on a directed grap
โ
Yu. I. Lyubich; M. I. Tabachnikov
๐
Article
๐
1970
๐
SP MAIK Nauka/Interperiodica
๐
English
โ 825 KB