Mahesh Ramani

collaborators

4 papers

math.CO2026

Spectral Theory of the Toroidal 3D Queen Graph

Mahesh Ramani

We study the adjacency spectrum of the toroidal three-dimensional queen graph $G_{n}$ on $(Z_{n})^{3}$ . Since $G_{n}$ is a Cayley graph on an abelian group, its adjacency matrix i…

math.CO2026

On the Structure of 3D Queen Domination

Mahesh Ramani

We study the domination number $γ (Q_{n}^{3})$ of the three-dimensional $n \times n \times n$ queen graph. The main result is a stratified theorem computing, for each position type -- c…

cs.SD2026

A Comprehensive Corpus of Biomechanically Constrained Piano Chords: Generation, Analysis, and Implications for Voicing and Psychoacoustics

Mahesh Ramani

I present the generation and analysis of the largest known open-source corpus of playable piano chords (approximately 19.3 million entries). This dataset enumerates the two-handed…

math.LO2026

An Optimal 14-Symbol Hybrid Basis for BCH-Algebras

Mahesh Ramani, Shlok Kumar

We present an optimally minimal two-axiom basis for BCH-algebras. The standard presentation of a BCH-algebra relies on three axioms: two equations and one quasi-identity. Using aut…