Amrita Acharyya

activity

20152025

most citedPower Graphs of Finite Group

2 citations · 3 across the 10 of their papers we have counts for

collaborators

11 papers

math.CO2025

Inverse limits of various posets

Amrita Acharyya

It is known when we call a poset P, a $P$ -chain permutational poset, given a subset of permutations $P$ of the symmetric group $S_{n}$ . In this work, we use the…

math.CO2024

Type B Set partitions, an analogue of restricted growth functions

Amrita Acharyya

In this work, we study type B set partitions for a given specific positive integer $k$ defined over $⟨ n ⟩ = {- n, - (n - 1), \dots - 1, 0, 1, \dots n - 1, n}$ . We found a few gen…

math.GN2022

Zero-divisor graph and comaximal graph of rings of continuous functions with countable range

Rakesh Bharati, Amrita Acharyya, A. Deb Ray +1

In this paper, two outwardly different graphs, namely, the zero divisor graph $Γ (C_{c} (X))$ and the comaximal graph $Γ_{2}^{^{'}} (C_{c} (X))$ of the ring $C_{c} (X)$ of all real-valued continuo…

math.CO2020★ 2 cited

Power Graphs of Finite Group

Amrita Acharyya, Allen Williams

The Directed Power Graph of a group is a graph whose vertex set is the elements of the group, with an edge from $x$ to $y$ if $y$ is a power of $x$ . The \textit{Power Graph} of a g…

math.CO2020

Zero-Divisor Graphs of $Z_{n}$ , their products and $D_{n}$

Amrita Acharyya, Robinson Czajkowski

This paper is an endeavor to discuss some properties of zero-divisor graphs of the ring $Z_{n}$ , the ring of integers modulo $n$ . The zero divisor graph of a commutative rin…

math.CO2020★ 1 cited

$K$ block set partition patterns and statistics

Amrita Acharyya, Robinson Paul Czajkowski, Allen Richard Williams

A set partition $σ$ of $[n] = {1, \dots, n}$ contains another set partition $ω$ if a standardized restriction of $σ$ to a subset $S \subseteq [n]$ is equivalent to $ω$ . Otherwise, $σ…

math.GN2020

Intermediate rings of complex-valued continuous functions

Amrita Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1

Let $Σ (X, C)$ denote the collection of all the rings between $C^{*} (X, C)$ and $C (X, C)$ . We show that there is a natural correlation between the absolutely c…

math.GN2016

Cofinite Graphs and their Profinite Completions

Amrita Acharyya, Jon M. Corson, Bikash Das

We generalize the idea of cofinite groups, due to B. Hartley. First we define cofinite spaces in general. Then, as a special situation, we study cofinite graphs and their uniform c…

math.GN2016

Cofinite Connectedness and Cofinite Group Actions

Amrita Acharyya, Jon M. Corson, Bikash Das

We have defined and established a theory of cofinite connectedness of a cofinite graph. Many of the properties of connectedness of topological spaces have analogs for cofinite conn…

math.AT2015

Coverings of Profinite Graphs

Amrita Acharyya, Jon M. Corson, Bikash Das

We define a covering of a profinite graph to be a projective limit of a system of covering maps of finite graphs. With this notion of covering, we develop a covering theory for pro…

math.GR2015

Cofinite Graphs and Groupoids and their Profinite Completions

Amrita Acharyya, Jon M. Corson, Bikash Das

We define cofinite graphs and cofinite groupoids in a unified way that extends the notion of cofinite groups introduced by Hartley. The common underlying structure of all these obj…

Inverse limits of various posets

Type B Set partitions, an analogue of restricted growth functions

Zero-divisor graph and comaximal graph of rings of continuous functions with countable range

Power Graphs of Finite Group

Zero-Divisor Graphs of Zn​, their products and Dn​

K block set partition patterns and statistics

Intermediate rings of complex-valued continuous functions

Cofinite Graphs and their Profinite Completions

Cofinite Connectedness and Cofinite Group Actions

Coverings of Profinite Graphs

Cofinite Graphs and Groupoids and their Profinite Completions

Zero-Divisor Graphs of $Z_{n}$ , their products and $D_{n}$

$K$ block set partition patterns and statistics