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On the Loebl–Komlós–Sós conjecture

✍ Scribed by Cristina Bazgan; Hao Li; Mariusz Woźniak

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 104 KB
Volume: 34
Category: Article
ISSN: 0364-9024
DOI: 10.1002/1097-0118(200008)34:4<269::aid-jgt3>3.0.co;2-y

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✦ Synopsis

The Loebl±Komlo Â s±So Â s conjecture says that any graph G on n vertices with at least half of vertices of degree at least k contains each tree of size k. We prove that the conjecture is true for paths as well as for large values of k(k ! n À 3).

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