A Cayley-type identity for trees
Ran J. Tessler
TL;DR
This paper presents a generalized mathematical identity related to counting plane vertex-labeled trees, extending classical formulas with weights.
Contribution
It introduces a weighted generalization of the Cayley-type identity for counting plane vertex-labeled trees.
Findings
Derived a new weighted formula for plane trees
Extended classical Cayley identity to weighted cases
Provides a broader combinatorial enumeration framework
Abstract
We prove a weighted generalization of the formula for the number of plane vertex-labeled trees.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · Graph theory and applications · Advanced Graph Theory Research