Geodesic
Eulerian polynomials, Stirling permutations of the second kind and perfect matchings
Shi-Mei Ma1 ; Yeong-Nan Yeh2
1Northeastern University at Qinhuangdao
2Academia Sinica
The electronic journal of combinatorics, Tome 24 (2017) no. 4
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In this paper, we introduce Stirling permutations of the second kind. In particular, we count Stirling permutations of the second kind by their cycle ascent plateaus, fixed points and cycles. Moreover, we get an expansion of the ordinary derangement polynomials in terms of the Stirling derangement polynomials. Finally, we present constructive proofs of a kind of combinatorial expansions of the Eulerian polynomials of types $A$ and $B$.
DOI : 10.37236/7288
Classification : 05A05, 05A19
Mots-clés : Eulerian polynomials, Stirling permutations of the second kind, Stirling derangements

Shi-Mei Ma  1   ; Yeong-Nan Yeh  2

1 Northeastern University at Qinhuangdao
2 Academia Sinica 
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     author = {Shi-Mei Ma and Yeong-Nan Yeh},
     title = {Eulerian polynomials, {Stirling} permutations of the second kind and perfect matchings},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {4},
     doi = {10.37236/7288},
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Shi-Mei Ma; Yeong-Nan Yeh. Eulerian polynomials, Stirling permutations of the second kind and perfect matchings. The electronic journal of combinatorics, Tome 24 (2017) no. 4. doi: 10.37236/7288

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