Exponential Growth of Graph Resolvent

Document Type : Research Paper

Author

Computer Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq and Faculty of Mechanics and Math, Belarusian State University, Belarus

Abstract

The spectrum of arbitrary graph of finite order the exponential growth of the resolvent of graph G is one of the most investigated object during the last 50 years. In particular, the resolvent matrix is a matrix with property that all of its eigenvalues are outside the spectra of G. In this paper, we study the exponential growth of the resolvent of graph G. The exponential growth of resolvent energy of graph G was investigated.

Keywords


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