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Solution of a Conjecture of Volkmann on the Number of Vertices in Longest Paths and Cycles of Strong Semicomplete Multipartite Digraphs

โœ Scribed by Gregory Gutin; Anders Yeo


Book ID
106048068
Publisher
Springer Japan
Year
2001
Tongue
English
Weight
86 KB
Volume
17
Category
Article
ISSN
0911-0119

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Solution of a conjecture of Volkmann on
โœ Dirk Meierling ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 139 KB ๐Ÿ‘ 1 views

## Abstract An inโ€tournament is an oriented graph such that the negative neighborhood of every vertex induces a tournament. Let __m__โ€‰=โ€‰4 or __m__โ€‰=โ€‰5 and let __D__ be a strongly connected inโ€tournament of order ${{n}}\geq {{2}}{{m}}-{{2}}$ such that each arc belongs to a directed path of order at