3 papers
math.CO2026
Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule
Saintan Wu, Sen-Peng Eu, Kuo-Han Ku +1
Petrie symmetric functions , also known as truncated homogeneous symmetric functions or modular complete symmetric functions, form a class of symmetric functions interpolat…
math.CO2025
Frequent elements in union-closed set families
Shagnik Das, Saintan Wu
The Union-Closed Sets Conjecture asks whether every union-closed set family has an element contained in half of its sets. In 2022, Nagel posed a generalisation of thi…
math.CO2024
Further analysis on the second frequency of union-closed set families
Saintan Wu
The Union-Closed Sets Conjecture, also known as Frankl's conjecture, asks whether, for any union-closed set family with sets, there is an element that lies in at…