Mahesh Ramani

collaborators

7 papers

math.CO2026

Robust Repulsion for Growing Crowns in Linear Hypergraphs

Mahesh Ramani

Put $q = r - 1$ , $t = k - 1$ , and $D = tq + 1$ . For an edge $e$ of a linear $C_{1, k}^{r}$ -free $r$ -uniform hypergraph, define \[ δ_H(e)=\sum_{v\in e}\frac{1}{d_H(v)}-\frac{r}{D}. \] The defect s…

math.CO2026

A Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots

Mahesh Ramani

For the neighborhood seed associated with the four-vertex path $P_{4}$ , the diamond operations do not recover all Boolean-lattice pseudo-roots. The corresponding question for unrestr…

math.CO2026

Cographs and Minimum Diamond-Generating Edge Sets in Boolean Lattices

Mahesh Ramani

We study a local closure operation on the cover edges of a Boolean lattice: whenever the two lower edges or the two upper edges of a square face are present, all four edges of that…

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

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…