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math.CO2024
A Proof of the Tree Packing Conjecture
Parikshit Chalise, Antwan Clark, Edinah K. Gnang
We prove a conjecture of Gyárfás (1976), which asserts that any family of trees where each has vertices packs into . We do so by translating the…
math.CO2024
Every tree on edges decomposes and
Parikshit Chalise, Antwan Clark, Edinah K. Gnang
We prove that every tree on edges decomposes and for all positive integers . The said decompositions are obtained by proving that every tree admits…
cs.DM2024
Symbolic Listings as Computation
Hamilton Sawczuk, Edinah Gnang
We propose an algebraic model of computation which formally relates symbolic listings, complexity of Boolean functions, and low depth arithmetic circuit complexity. In this model a…