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19 papers · 1 filter
Fractional balanced chromatic number of signed subcubic graphs
Xiaolan Hu, Luis Kuffner, Jiaao Li +4
A signed graph is a pair , where is a graph and , called signature, is an assignment of signs to the edges. Given a signed graph wit…
On a question about real rooted polynomials and f-polynomials of simplicial complexes
Lili Mu, Volkmar Welker
For a polynomial with positive integer coefficients Bell and Skandera ask if real rootedness of f(t) implies that there is a simplicial complex w…
Antimagic Orientation of Forests
Songling Shan, Xiaowei Yu
An antimagic labeling of a digraph with vertices and arcs is a bijection from the set of arcs of to such that all oriented vertex-sums are pa…
Stability of combinatorial polynomials and its applications
Ming-Jian Ding, Bao-Xuan Zhu
The aim of this paper is to make a systematical study on the stability of polynomials in combinatorics. Applying the characterizations of Borcea and Brändén concerning linear opera…
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…