University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 12 3 2021 09 01 Exponential Growth of Graph Resolvent 187 195 111631 10.22052/ijmc.2022.242190.1556 EN Ali A. Shukur Computer Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq and Faculty of Mechanics and Math, Belarusian State University, Belarus Journal Article 2021 04 08 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. resolvent Graph energy Resolvent energy The order and type of entire function https://ijmc.kashanu.ac.ir/article_111631_c21beb412fef5d68057763c6aff1bf50.pdf