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math.CO2026
The Tropical Algebra of Binary-Tree Height
Grant Molnar
The binary-tree height recursion defines an algebra on , with join given by and product \[ a\star b=\max\{a,b\}+1. \] We show that w…
math.CO2015★ 4 cited
Graphs with the strong Havel-Hakimi property
Michael D. Barrus, Grant Molnar
The Havel-Hakimi algorithm iteratively reduces the degree sequence of a graph to a list of zeroes. As shown by Favaron, Mahéo, and Saclé, the number of zeroes produced, known as th…