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math.CO2025
Spanning trees of bounded degree in random geometric graphs
Michael Anastos, Sahar Diskin, Dawid Ignasiak +2
We determine the sharp threshold for the containment of all -vertex trees of bounded degree in random geometric graphs with vertices. This provides a geometric counterpart o…
math.CO2023
Proof of a Conjecture of Nath and Sellers on Simultaneous Core Partitions
Yetong Sha, Huan Xiong
In 2016, Nath and Sellers proposed a conjecture regarding the precise largest size of -core partitions. In this paper, we prove their conjecture. One of the key te…