Enrica Duchi
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126
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Discrete Math×1
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2026
The Genesis Sequence, Tree Records and Endofunctions
The paper establishes bijections between tree records, girth of connected endofunctions, and genesis sequences, deriving generating functions for tree and forest record numbers using Cayley's tree function and proving Cayley's forest formula.
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cs.DMTheoreticalRecentJun 12, 2026
The Genesis Sequence, Tree Records and Endofunctions
Enrica Duchi, Adrián Lillo, Pablo Puerto, Mercedes Rosas +1 more
The paper establishes bijections between tree records, girth of connected endofunctions, and genesis sequences, deriving generating functions for tree and forest record numbers using Cayley's tree fun…
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