## Abstract We extend Landau's concept of the score structure of a tournament to that of the score sequence of an oriented graph, and give a condition for an arbitrary integer sequence to be a score sequence. The proof is by construction of a specific oriented graph ฮ(__S__) with given score sequen
โฆ LIBER โฆ
Score sequences in oriented graphs
โ Scribed by S. Pirzada; T. A. Naikoo; N. A. Shah
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 159 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
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## Abstract A tournament is an oriented complete graph, and one containing no directed cycles is called __transitive__. A tournament __T__=(__V, A__) is called __m__โ__partition transitive__ if there is a partition such that the subtournaments induced by each __X__~__i__~ are all transitive, an