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Spanning Trees in Dense Graphs

JÁNOS KOMLÓS, GÁBOR N. SÁRKÓZY, ENDRE SZEMERÉDI

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Source: Crossref

Published: Sep 1, 2001

DOI: 10.1017/s0963548301004849

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Source abstract

In this paper we prove the following almost optimal theorem. For any δ > 0, there exist constants c and n 0 such that, if n [ges ] n 0 , T is a tree of order n and maximum degree at most cn /log n , and G is a graph of order n and minimum degree at least (1/2 + δ) n , then T is a subgraph of G .

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