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Even Directed Cycles inH-Free Digraphs

โœ Scribed by Anna Galluccio; Martin Loebl


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
176 KB
Volume
27
Category
Article
ISSN
0196-6774

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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Note on the existence of directed (k + 1
โœ R. Balakrishnan; P. Paulraja ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 150 KB ๐Ÿ‘ 1 views

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?