G. Umbrey
Jawaharlal Nehru College, Himalayan University, Chimpu, Rajiv Gandhi University
0000-0003-0694-2587
About
Dr. Gete Umbrey is a mathematics researcher and educator specializing in the synthesis of Semirings, Symbolic Logic, and Algebraic Graph Theory. He serves as an Assistant Professor of Mathematics at JN College, Pasighat, and the Regional Coordinator for the Mathematical Olympiad in Arunachal Pradesh.
His research focuses on the development of sub-exponential algorithms for Boolean Logic Minimization and the determination of spectral and structural properties in complex networks. Dr. Umbrey is the lead developer of the Algebraic Graph Visualizer (AGV), a research tool designed for the fusion of Zykov Algebra and real-time Boolean optimization. He proposes novel symbolic techniques that potentially complements classical exact methods (e.g., Quine-McCluskey and Expresso) in specific benchmarks such as sparse, high-variable environments. Beyond his theoretical research, he is dedicated to mathematical pedagogy and the advancement of digital tools for the global research community.
Employment
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Jawaharlal Nehru College Assistant Professor2017 - Present
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Himalayan University, Chimpu Assistant Professor2015 - 2016
Education
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Rajiv Gandhi University Ph. D2016 - 2021
Projects & Funding
Projects & funding information is unavailable.
Publications (15)
- Boolean algebra and lattice of graphs with their applications in cryptography Save
- Application of Zykov Algebra in Graph Generalization Save
- Novel Boolean Logic Manipulation: A Symbolic Computation and Camouflaged Graph Construction Save
- A Zykov algebra approach to clique propagation: Classifying clique complexes in graphs Save
- The Algebra of Simple Graphs and Maximal Cliques Save
- Exam Solutions: Algebra and Related Topics Save
- On Some Properties of Commutative and Idempotent Semirings Save
- Algebra Save
- Algebraic Graph Join Operations and its Applications Save
- On Some Properties of Semirings of Graphs Save