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13 papers · 2 filters
Non symmetric Cauchy kernels for the classical Groups
Amy M. Fu, Alain Lascoux
We give non-symmetric versions of the Cauchy kernel and Littlewood's kernels, corresponding to the types , , and , of the classical groups. We show that these…
The Bivariate Rogers-Szegö Polynomials
William Y. C. Chen, Husam L. Saad, Lisa H. Sun
We present an operator approach to deriving Mehler's formula and the Rogers formula for the bivariate Rogers-Szegö polynomials . The proof of Mehler's formula can be co…
Complete Solution for the Rainbow Numbers of Matchings
He Chen, Xueliang Li, Jianhua Tu
For a given graph and , let denote the maximum number for which there is a way to color the edges of the complete graph with colors such that ev…
Generalization of matching extensions in graphs (II)
Zemin Jin, Huifang Yan, Qinglin Yu
Proposed as a general framework, Liu and Yu(Discrete Math. 231 (2001) 311-320) introduced -graphs to unify the concepts of deficiency of matchings, -factor-criticality…
Factor-Critical Property in 3-Dominating-Critical Graphs
Tao Wang, Qinglin Yu
A vertex subset of a graph is a dominating set if every vertex of either belongs to or is adjacent to a vertex of . The cardinality of a smallest dominating set…
Linked Partitions and Linked Cycles
William Y. C. Chen, Susan Y. J. Wu, Catherine Yan
The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [n…