Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
11 papers
Central Splitting, Division-Stable Residuals, and Opposite-Ring Transfer for Strongly C4*-Rings
Chandrasekhar Gokavarapu, Naveen Kumar Kakumanu, Sajani Lavanya Madasi +2
The known decomposition theorem for strongly \(\Cfourstar\)-modules gives a semisimple summand and a summand-square-free residual summand, with two-way Hom-orthogonality when the a…
Harmonic Analysis on Directed Networks via a Biorthogonal Laplacian Calculus for Non-Normal Digraphs
Chandrasekhar Gokavarapu, Komala Lakshmi Chinnam
Spectral graph signal processing is traditionally built on self-adjoint Laplacians, where orthogonal eigenbases yield an energy-preserving Fourier transform and a variational frequ…
Certified Learning under Distribution Shift: Sound Verification and Identifiable Structure
Chandrasekhar Gokavarapu, Sudhakar Gadde, Y. Rajasekhar +1
Proposition. Let be a predictor trained on a distribution and evaluated on a shifted distribution . Under verifiable regularity and complexity constraints, the excess ri…
Asymmetry in Spectral Graph Theory: Harmonic Analysis on Directed Networks via Biorthogonal Bases (Random-Walk Laplacian Formulation)
Chandrasekhar Gokavarapu
The operator-theoretic dichotomy underlying diffusion on directed networks is \emph{symmetry versus non-self-adjointness} of the Markov transition operator. In the reversible (deta…
Massively Parallel Reductions in Multivariate Polynomial Systems: Bridging the Symbolic Preprocessing Gap on GPGPU Architectures
Chandrasekhar Gokavarapu
Gröbner basis computation over multivariate polynomial rings remains one of the most powerful yet computationally hostile primitives in symbolic computation. While modern algorithm…
Derived Gamma Geometry II: Stable -Categories of Gamma-Modules, Derived Monoidal Structures, and Obstructions to Binary Shadows
Chandrasekhar Gokavarapu
Let \(\T\) be a commutative ternary \(\Gm\)-semiring in the sense of the triadic, \(\Gm\)-parametrized multiplication \(\{a,b,c\}_γ\). Building on the affine \(\Gm\)-spectrum \(\Sp…
Harmonic Analysis on Directed Networks: A Biorthogonal Laplacian Framework for Non-Normal Graphs
Chandrasekhar Gokavarapu
Classical spectral graph theory relies on the symmetry of the adjacency and Laplacian operators, which guarantees orthogonal eigenbases and energy-preserving Fourier transforms. Ho…
Projective Modules and Classical Algebraic K-Theory of Non-Commutative Gamma Semirings
Chandrasekhar Gokavarapu
In this paper, we initiate the study of algebraic K-theory for non-commutative -semirings, extending the classical constructions of Grothendieck and Bass to this setting. We fir…
Operational Regimes of Ternary -Semiring Chemical Systems
Chandrasekhar Gokavarapu, Venkata Rao Kaviti, Srinivasa Rao Thirunagari +2
Ternary -semiring chemical systems provide an algebraic language in which mediators such as catalysts, solvents, inhibitors, thermodynamic conditions, and external fields enter…
Computational and Categorical Frameworks of Finite Ternary -Semirings: Foundations, Algorithms, and Industrial Modeling Applications
Chandrasekhar Gokavarapu, Dr D Madhusudhana Rao
Purpose: This study extends the structural theory of finite commutative ternary -semirings into a computational and categorical framework for explicit classification and constru…
Prime and Semiprime Ideals in Commutative Ternary -Semirings: Quotients, Radicals, Spectrum
Chandrasekhar Gokavarapu, Dr D Madhusudhana Rao
The theory of ternary -semirings extends classical ring and semiring frameworks by introducing a ternary product controlled by a parameter set . Building on the foundational…