eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-09-22 5 6 202 209 10.12691/tjant-5-6-2 TJANT2017562 article K. N. Prakasha 1 P. Siva Kota Reddy 2 Ismail Naci Cangul ncangul@gmail.com 3 Mathematics, Vidyavardhaka College of Engineering, Mysuru, India Mathematics, Siddaganga Institute of Technology, Tumkur, India Mathematics, Uludag University, Bursa, Turkey The purpose of this paper is to introduce and investigate the symmetric division deg energy SDDE(G) of a graph. We establish upper and lower bounds for SDDE(G). Also the symmetric division deg energy for certain graphs with one edge deleted are calculated. http://pubs.sciepub.com/tjant/5/6/2/tjant-5-6-2.pdf symmetric division deg index symmetric division deg eigenvalues symmetric division deg energy k-complement k(i)-complement edge deletion