1 citations · 1 across the 8 of their papers we have counts for
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-Chromatic Polynomials and Polytope Geometry
Annayat Ali, Rameez Raja
In this paper, we investigate the notion of the \textit{-chromatic polynomial} of a graph, which enumerates the number of distinct -colorings using colors from a prescri…
Degenerations and order of graphs realized by finite abelian groups
Rameez Raja
Let G_1 and G_2 be two groups. If a group homomorphism φ: G_1 \longrightarrow G_2 maps a \in G_1 into b \in G_2 such that φ(a) = b, then we say a degenerates to b and if every elem…
Realization of zero-divisor graphs of finite commutative rings as threshold graphs
Rameez Raja, Samir Ahmad Wagay
Let R be a finite commutative ring with unity, and let G = (V, E) be a simple graph. The zero-divisor graph, denoted by Γ(R) is a simple graph with vertex set as R, and two vertice…
Group-annihilator graphs realised by finite abelian groups and its properties
Eshita Mazumdar, Rameez Raja
Let be a finite abelian group viewed a -module and let be a simple graph. In this paper, we consider a graph called as a \textit{group…
Total perfect codes in graphs realized by commutative rings
Rameez Raja
Let be a commutative ring with unity not equal to zero and let be a zero-divisor graph realized by . For a simple, undirected, connected graph , a {\it to…