3 papers
math.CO2026
A general method of deducing the determinantal expressions for polynomial and its derivative
Hongyi Lou, Shi-Mei Ma, Xinzhe Song +2
In this paper, we present a general method of deducing the determinantal expressions for a polynomial and its derivative. As illustrations, we provide three determinantal expressio…
math.CO2026
The induced--free process
Hongyi Lou, Xinzhe Song, Guiying Yan
We study the random induced--free graph process. Let , where , be a uniformly random ordering of the edges of . Starting from the empty gr…
math.CO2024
Planar Turán number of two adjacent cycles
Xinzhe Song, Guiying Yan, Qiang Zhou
The planar Turán number of , denoted by , is the maximum number of edges in an -vertex -free planar graph. The planar Turán number of v…