As per your reference I will tell you the names of total number of universities located in Karnataka so that you can have idea.

Here I’m telling you the names of universities

State Universities
Bangalore University, Bangalore-560 056
Davangere University, Shivagangothri, Davangere - 577 002 Karnataka.(State University)
Gulbarga University, Gulbarga-585 106
Kannada University, Hampi, Bellary District, Kamalapura-583 276
Karnatak University, Dharwad-580 003
Karnataka State Women University, Bijapur-586 101 (Karnataka).
Kuvempu University, Shankaraghatta- 577 451
Karnataka Veterinary, Animal & Fisheries Science University, Nandinagar, PB No. 6, Bidar-585 401
Karnataka State Law University, Hubli
Karnataka Open University, Mysore-570 006
Mangalore University, Mangalore-574 199
Mysore University, Mysore-570 005
National law School of India University, Bangalore-560 072
Rajiv Gandhi University of Health Sciences, Bangalore-560 041
Tumkur University, 1st Floor, Dr. B.R. Ambedkar Bhavan, M.G. Road, Tumkur- 572 101.
University of Agricultural Sciences, Bangalore-560 065
University of Agricultural Sciences, Dharwad -580 005
Visveswaraiah Technological University, Belgaum-590 010

Central Universities
Central University of Karnataka, 2nd Floor, Karya Saudha, Gulbarga University, Gulbarga - 585 106

Deemed Universities
B.L.D.E. University Bijapur Karnataka
Indian Institute of Science Bangalore-560 012 Karnataka
International Institute of Information Technology 26/c, Opp. Infosys (Gate - 1), Electronic City, Hosur Road, Bangalore-560 100 Karnataka
Jagadguru Sri Shivarathreeswara University Jagadguru Dr. Sri Shivarathri Rajendra Circle, Ramanuja Road, Mysore-570 004 Karnataka
Jawaharlal Nehru Centre for Advanced Scientific Research Jakkur Campus, Jakkur, Bangalore-560 064 Karnataka
K.L.E. Academy of Higher Education and Research J.N.Medical College Campus, Belgaum (Karnataka)
Manipal Academy of Higher Education Madhav Nagar, Udupi, Manipal - 576 104 Karnataka
National Institute of Mental Health & Neuro Sciences Post Box No. 2900, Hosur Road, Bangalore-560 029 Karnataka
NITTE University Mangalore 575 003 Karnataka
Sri Devraj Urs Academy of Higher Education and Research B. H. Road, Tamaka, Kolar-563 101 Karnataka
Sri Siddhartha Academy of Higher Education Tumkur district-572 102 Karnataka
Swami Vivekananda Yoga Anusandhana Samsthana No. 9, Appajappa Agrahara, Chamarajpet, Bangalore-560 018 Karnataka
Yenepoya University Mangalore Karnataka
Christ Universitys Hosur Road, Bangalore-560 029 Karnataka
Jain University V.V. Puram, Bangalore Karnataka