2 papers
math.PR2025
Average-weight percolation on the complete graph
Elie Aïdékon, Yueyun Hu
Attach to each edge of the complete graph on vertices, i.i.d. exponential random variables with mean . Aldous [1] proved that the longest path with average weight below …
math.CO2024
An improved upper bound for planar Turán number of double star
Xin Xu, Yue Hu, Xu Zhang
The planar Turán number of a graph , denoted by , is the maximum number of edges in an -vertex -free planar graph. Recently, D. Ghosh, et al. initi…