A graph is constructed to provide a negative answer to the following question of Bondy: Does every diconnected orientation of a complete k-partite (k 2 5) graph with each part of size at least 2 yield a directed (k + 1)-cycle?
โฆ LIBER โฆ
Even Directed Cycles inH-Free Digraphs
โ Scribed by Anna Galluccio; Martin Loebl
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 176 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
โฆ Synopsis
A digraph is H-free if its underlying graph does not contain a subgraph contractible to the graph H. We provide a polynomial-time algorithm to solve the even cycle problem in the class of K -free digraphs and in the class of K -free 3, 3 5 digraphs. We also discuss the important role played by the subdivisions of K in 3, 3 solving the even cycle problem in its generality.
๐ SIMILAR VOLUMES
Note on the existence of directed (k + 1
โ
R. Balakrishnan; P. Paulraja
๐
Article
๐
1984
๐
John Wiley and Sons
๐
English
โ 150 KB
๐ 1 views