Manisha Kumari

collaborators

4 papers

math.CO2026

Structural Classification of a Graph with Independence Number Five

Manisha Kumari, Dinesh Kumar

The independence polynomial of a simple graph $G$ is given by $ I_G(z) = i_0 + i_1 z + i_2 z^2 + \cdots + i_αz^α$, where $ i_α$ denotes the size of a maximum independent set, a…

math.DS2026

Results on the postsingular set of compositions of transcendental entire functions

Manisha Kumari, Dinesh Kumar

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$ , where $g = a f^{p} + b$ with $a, b \in C$ , $p \in N$ , and $a \neq = 0, 1$ . We exami…

math.DS2026

Equality of the dynamical sets of two commuting transcendental entire functions

Manisha Kumari, Dinesh Kumar

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$ , where $g$ is of the form $a f^{p} + b$ with $a,b \in \C$, $p \in N$ , and $a \neq = 0, 1$ .…

math.DS2025

On Dynamics of the Bungee set and the Filled Julia set of a Transcendental Semigroup

Manisha Kumari, Dinesh Kumar

We have introduced the notion of the bungee set and the filled Julia set of a transcendental semigroup using Fatou-Julia theory. Numerous results of the bungee set of a single tran…