MUMBAI, India, May 29 -- Intellectual Property India has published a patent application (202641042301 A) filed by St. Aloysius College, Edatua; Prof. Dr. Indulal G; and Dr. Deena C Scaria, Alappuzha, Kerala, on April 2, for 'distance seidel spectral properties of graph operations.'
Inventor(s) include Prof. Dr. Indulal G; and Dr. Deena C Scaria.
The application for the patent was published on May 29, under issue no. 22/2026.
According to the abstract released by the Intellectual Property India: "The present invention relates to a mathematical system and computational method for determining the Distance Seidel Spectrum of graph structures and their derived operations. The invention focuses on transforming conventional graph representations into Distance Seidel matrices and evaluating their eigenvalues to understand structural properties of graphs. The method introduces analytical formulations for subdivision graphs, partial complements, and graph products such as vertex joins, edge joins, and Indu-Bala products. By utilizing adjacency spectra and matrix transformations, the system enables efficient computation of eigenvalues and distance-based energy metrics. The invention further provides generalized solutions for regular graphs, enabling prediction of spectral characteristics across various graph configurations. This approach enhances the understanding of graph topology, energy distribution, and connectivity patterns. The proposed method finds applications in network analysis, communication systems, data science, and computational modeling, offering improved accuracy and scalability compared to traditional spectral graph techniques."
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