3 papers
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.PR2024
Asymptotic Normality and Concentration Inequalities of Statistics of Core Partitions with Bounded Perimeters
Jiange Li, Yetong Sha, Huan Xiong
Core partitions have attracted much attention since Anderson's work (2002) on the number of -core partitions for coprime . Recently, there has been a growing interest i…
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…