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4 papers · 2 filters
On a Stirling-Whitney-Riordan triangle
Bao-Xuan Zhu
Based on the Stirling triangle of the second kind, the Whitney triangle of the second kind and one triangle of Riordan, we study a Stirling-Whitney-Riordan triangle $[T_{n,k}]_{n,k…
A unified approach to combinatorial triangles: a generalized Eulerian polynomial
Bao-Xuan Zhu
Motivated by the classical Eulerian number, descent and excedance numbers in the hyperoctahedral groups, an triangular array from staircase tableaux and so on, we study a triangula…
Stieltjes moment properties and continued fractions from combinatorial triangles
Bao-Xuan Zhu
Many combinatorial numbers can be placed in the following generalized triangular array satisfying the recurrence relation: \begin{equation*} T_{n,k}=λ(a_0n+a…
Improved bounds on the Ramsey number of fans
Guantao Chen, Xiaowei Yu, Yi Zhao
For a given graph , the Ramsey number is the minimum such that any 2-edge-coloring of the complete graph yields a monochromatic copy of . Given a positive in…