14 citations · 20 across the 16 of their papers we have counts for
9 papers · 1 filter
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 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…
An inequality generalizing and
Himadri Mukherjee
Aim of this article is to prove the inequality when are increasing positive real numbers and are…
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…
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…
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…