13 papers
Barr-Exactness and Congruence-Based Homological Algebra in Ternary -Semimodules
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Let be a ternary --semiring and let be the category of ternary --semimodules with the intrinsic five--ary action $T\times Γ\times M \times Γ\times T…
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…
Finite-sample certification and operating envelopes for spectral clustering and graph centrality
Chandrasekhar Gokavarapu, Sekhar Babu Gosala, Rajeev Muthu +3
Spectral clustering and node rankings are commonly reported from one observed network without a finite-sample statement of what the observation supports. We develop a certification…
Quantitative fixed-point theorems with verifiable hypotheses: rates and stability
Chandrasekhar Gokavarapu, Srinivasulu Ch, D V N S Sriram Murthy +1
Let $(X,\dist)$ be a complete metric space and let be a closed invariant set. We study fixed points of maps governed by a \emph{verifiable} contract…
Unified Geometric, Fuzzy, and Computational Framework for Ternary Gamma Semirings
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Aim. This paper (Paper D) unifies the ideal-theoretic, computational, and homological layers developed in Papers A (Rao 2025), B (Rao 2025), and C (Rao 2025) into a geometric frame…
Finite Structure and Radical Theory of Commutative Ternary -Semirings
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Purpose: To develop the algebraic foundation of finite commutative ternary -semirings by identifying their intrinsic invariants, lattice organization, and radical behavior that…