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On the second part of Hilbert's 16th problem

✍ Scribed by E. Oxenhielm

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
115 KB
Volume
57
Category
Article
ISSN
0362-546X

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## Abstract The second neighborhood conjecture of Seymour asserts that for any orientation __G__ = (__V__,__E__), there exists a vertex Ο… ∈ __V__ so that |__N__^+^(Ο…)| ≀ |__N__^++^(Ο…)|. The conjecture was resolved by Fisher for tournaments. In this article, we prove the second neighborhood conjectu