14 citations · 20 across the 16 of their papers we have counts for
17 papers
Lie's Theorem for Supertropical Algebra
Himadri Mukherjee, Askar Ali M
The aim of this paper is to prove a version of Lie's theorem for the supertropical algebra.
A Complete Characterization of all Magic Constants Arising from Distance Magic Graphs
Ravindra Pawar, Tarkeshwar Singh, Himadri Mukherjee +1
A positive integer is called a magic constant if there is a graph along with a bijective function from to first natural numbers such that the weight of…
On the Linear Algebraic Monoids Associated to Congruence of Matrices
Himadri Mukherjee, Gunja Sachdeva
This paper discusses the generalized congruence equation , for over any field , through the action of monoid $Sol_A \times Sol_B := \{X \ | \ X^tAX = A\}…
On Structural and Spectral Properties of Distance Magic Graphs
Himadri Mukherjee, Ravindra Pawar, Tarkeshwar Singh
A graph is said to be distance magic if there is a bijection from a vertex set of to the first natural numbers such that for each vertex , its weight…
Solutions to a system of Yang-Baxter matrix equations
Himadri Mukherjee, Askar Ali M, Bogdan D. Djordjevic
In this article, a system of Yang-Baxter-type matrix equations is studied, , , which "generalizes" the matrix Yang-Baxter equation and exhibits a broken symmetry.…
An inequality generalizing and
Himadri Mukherjee
Aim of this article is to prove the inequality when are increasing positive real numbers and are…
Solutions to the matrix Yang-Baxter equation
Himadri Mukherjee, Askar Ali M
In this article, we give a few classes of solutions for the Yang-Baxter type matrix equation, . We provide all solutions for the cases when is equivalent to a Jordan b…
Approximation of Banzhaf indices and its application to voting games
Krishna V. Acharya, Himadri Mukherjee, Jajati Keshari Sahoo
In this paper, we propose an improved version of the power index related to the Banzhaf power index for weighted voting systems. This index now takes into account the mutual persua…
The First Syzygy of Hibi Rings Associated with Planar distributive lattices
Priya Das, Himadri Mukherjee
Let be a finite distributive lattice and be a polynomial ring over a field and $I=\langle x_αx_β- x_{α\vee β} x_{α\wedgeβ} : α\nsim β…
Polynomial Rings Over Commutative Reduced Hopfian Local Rings
Alpesh M. Dhorajia, Himadri Mukherjee
In this paper we prove that if is a commutative, reduced, local ring, then is Hopfian if and only if the ring is Hopfian. This answers a question of Varadarajan, in…
On Hamiltonian cycles of power graphs of abelian groups
Himadri Mukherjee
In this article we discuss the question of presence of Hamiltonian cycle in the un-directed power graph of a group. In the process we develop weighted Hamiltonian cycle concept and…
Beck's Conjecture for Power Graphs
Himadri Mukherjee, Priya Das
Beck's conjecture on coloring of graphs associated to various algebraic objects has generated considerable interest in the community of discrete mathematics and combinatorics since…
Hilbert-Samuel Multiplicity of a Bipartite Graph
Priya Das, Himadri Mukherjee
Let be a bipartite graph and the toric ideal associated to the graph . In this article we calculate Hilbert-Samuel multiplicity of the graph for which the toric i…
An Identity of Distributive Lattices
Himadri Mukherjee
In a finite distributive lattice we define two functions and . In this present article we prove t…
On singularities of lattice varieties
Himadri Mukherjee
Toric varieties associated with distributive lattices arise as a fibre of a flat degeneration of a Schubert variety in a minuscule. The singular locus of these varieties has been s…
On the number of non-comparable pairs of elements in a distributive lattice
Himadri Mukherjee
In this article we introduce the study of the number of pairs of non-comparable elements in a distributive lattice . We give several tight lower and upper bounds for the number…
Singular Loci of Hibi toric varieties
V. Lakshmibai, H. Mukherjee
We first construct explicit bases for the cotangent spaces at singular points on Hibi toric varieties, i.e., toric varieties associated to distributive lattices. We then determine…