Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Hiranya Kishore Dey"'
Publikováno v:
Enumerative Combinatorics and Applications, Vol 4, Iss 1, p Article #S2R3 (2023)
Externí odkaz:
https://doaj.org/article/b10b4c0556444acea66a5a2e2bbfb3ac
Autor:
Angsuman Das, Hiranya Kishore Dey
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol vol. 24, no. 1, Iss Graph Theory (2022)
The determining number of a graph $G = (V,E)$ is the minimum cardinality of a set $S\subseteq V$ such that pointwise stabilizer of $S$ under the action of $Aut(G)$ is trivial. In this paper, we provide some improved upper and lower bounds on the dete
Externí odkaz:
https://doaj.org/article/120937b1c4844067aae2d8a25367bc80
Autor:
Hiranya Kishore Dey
Publikováno v:
Archiv der Mathematik. 120:457-466
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::758d4c6e5ad5d8f231a76957a0d13595
https://doi.org/10.1007/s00013-023-01837-2
https://doi.org/10.1007/s00013-023-01837-2
Publikováno v:
Linear and Multilinear Algebra. :1-11
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4abe05831f02d6741f5e825bade5b305
https://doi.org/10.1080/03081087.2022.2121370
https://doi.org/10.1080/03081087.2022.2121370
Autor:
Sudip Bera, Hiranya Kishore Dey
Publikováno v:
Journal of Group Theory.
For a group 𝐺, the enhanced power graph of 𝐺 is a graph with vertex set 𝐺 in which two distinct vertices x , y x,y are adjacent if and only if there exists an element 𝑤 in 𝐺 such that both 𝑥 and 𝑦 are powers of 𝑤. The proper e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20d365eacb43d6fcb362714eefa8bfbc
https://doi.org/10.1515/jgth-2022-0057
https://doi.org/10.1515/jgth-2022-0057
Publikováno v:
Graphs and Combinatorics. 37:591-603
This paper deals with the vertex connectivity of enhanced power graphs of finite groups. We classify all abelian groups G such that the vertex connectivity of enhanced power graph of G is 1. We derive an upper bound for the vertex connectivity of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3e245f27a4bf8134dc76134fc42aaab
https://doi.org/10.1007/s00373-020-02267-5
https://doi.org/10.1007/s00373-020-02267-5
Publikováno v:
Annals of Combinatorics. 24:711-738
The Eulerian polynomial $$ \mathrm {AExc}_n(t)$$ enumerating excedances in the symmetric group $$\mathfrak {S}_n$$ is known to be gamma positive for all n. When enumeration is done over the type B and type D Coxeter groups, the type B and type D Eule
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48ec5a62b32a97a7b27c5cc3f9d124b2
https://doi.org/10.1007/s00026-020-00511-6
https://doi.org/10.1007/s00026-020-00511-6
Eulerian Central Limit Theorems and Carlitz identities in positive elements of Classical Weyl Groups
Central Limit Theorems are known for the Eulerian statistic "descent" (or "excedance") in the symmetric group $\SSS_n$. Recently, Fulman, Kim, Lee and Petersen gave a Central Limit Theorem for "descent" over the alternating group $\AAA_n$ and also ga
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa5dce938e81f5bc72b0229a9eb74e91
The classical Eulerian polynomials $A_n(t)$ are known to be gamma positive. Define the positive Eulerian polynomial $A_n^+(t)$ as the polynomial obtained when we sum descents over the alternating group. We show that $A_n^+(t)$ is gamma positive iff $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53e17441301ea3cb46629e0503fee7f3
http://arxiv.org/abs/1812.01927
http://arxiv.org/abs/1812.01927