Asymptotic normality of coefficients of some polynomials related to Dowling lattices
نویسندگان
چکیده
منابع مشابه
Asymptotic Normality of Some Graph-Related Statistics
Petrovskaya and Leontovich (1982) proved a central limit theorem for sums of dependent random variables indexed by a graph. We apply this theorem to obtain asymptotic normality for the number of local maxima of a random function on certain graphs and for the number of edges having the same color at both endpoints in randomly colored graphs. We briefly motivate these problems, and conclude with ...
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15 صفحه اولSome results on Whitney numbers of Dowling lattices
In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is a relation between Stirling and Eulerian polynomials. Can we find a new relation between Dowling polynomials and other polynomials generalizing Eulerian polynomials? In addition, some congruences for the Dowling numbers are given. Mathematics Subject...
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For a simple finite graph G denote by { G k } the number of ways of partitioning the vertex set of G into k non-empty independent sets (that is, into classes that span no edges of G). If En is the graph on n vertices with no edges then { En k } coincides with { n k } , the ordinary Stirling number of the second kind, and so we refer to { G k } as a graph Stirling number. Harper showed that the ...
متن کاملThe Generalized Dowling Lattices
In this paper we study a new class of lattices called the generalized Dowling lattices. These lattices are parametrized by a positive integer n , a finite group G , and a meet sublattice K of the lattice of subgroups of G . For an appropriate choice of K the generalized Dowling lattice Dn{G,K) agrees with the ordinary Dowling lattice Dn(G). For a different choice of K, the generalized Dowling l...
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ژورنال
عنوان ژورنال: Filomat
سال: 2020
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil2009915l