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The Journal of Information and Optimization Sciences (JIOS) is a world leading journal publishing high quality, rigorously peer-reviewed original research in all mathematically-oriented theoretical and applied topics in information sciences, optimization sciences and related areas since 1980. Subjects include but are not limited to:
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On the degree sum energy of total transformation graphs of regular graphs
*D. S. RevankarCorresponding authorrevankards@gmail.comDepartment of Mathematics KLE Dr. M. S. Sheshgiri College of Engineering & Technology Belagavi 590008 Karnataka IndiaView full profile →
, Jaishri B. Veeragoudarjaishriv15@gmail.comDepartment of Mathematics KLE Dr. M. S. Sheshgiri College of Engineering & Technology Belagavi 590008 Karnataka IndiaView full profile →
, M. M. Patilmanjushamagdum@gmail.comDepartment of Mathematics KLE Dr. M. S. Sheshgiri College of Engineering & Technology Belagavi 590008 Karnataka India; Department of Mathematics KLS Gogte Institute of Technology Belagavi 590008 Karnataka IndiaDepartment of Mathematics KLE Dr. M. S. Sheshgiri College of Engineering & Technology Belagavi 590008 Karnataka IndiaView full profile →
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The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This definition of energy was motivated by the large number of results for the Huckel molecular orbital total π-electron energy. Motivated by E(G), The degree sum energy EDS(G) of a simple connected graph G is defined by sum of the absolute values of all eigenvalues of degree sum matrix. In this paper, we obtain spectra and degree sum energy of the total transformation graph Gxyz of a r-regular graph.
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