University of GuilanJournal of Algebra and Related Topics2345-39317220191201Harary spectrum of generalized composition of graphs and Harary equienergetic graphs3145414110.22124/jart.2020.14263.1161ENH.RamaneDepartment of Mathematics, Karnatak University, Dharwad - 580003, India0000-0003-3122-1669D.PatilDepartment of Mathematics, Karnatak University, Dharwad,IndiaK.AshokaDepartment of Mathematics, Karnatak University, Dharwad - 580003, IndiaB.ParvathaluDepartment of Mathematics, Karnatak University's Karnatak Arts College, Dharwad - 580001, IndiaJournal Article20190829The Harary spectrum of a connected graph $G$ is the collection of the eigenvalues of its Harary matrix. The Harary energy of a graph $G$ is the sum of absolute values of its Harary eigenvalues. Harary equitable partition is defined and is used to obtain Harary spectrum of generalized composition of graphs. Harary equienergetic graphs have been constructed with the help of generalized composition through Harary equitable partition.https://jart.guilan.ac.ir/article_4141_b38a61f4f274ee973786ac502e560b68.pdf