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Abstract
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Several special types of Leech trees are investigated in this note. In particular, it is shown that there is no
diameter- Leech tree of
order
, and there are at most
finitely many diameter-
Leech trees. A result of Székely, Wang, and Zhang on maximum degree of a vertex
in a Leech tree is also improved.
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Keywords
graph labeling, Leech tree, Sidon sets
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Mathematical Subject Classification
Primary: 05C05, 05C78, 11B83
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Milestones
Received: 11 January 2023
Revised: 3 May 2023
Accepted: 5 May 2023
Published: 20 May 2024
Communicated by Kenneth S. Berenhaut
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Publishers). |
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