The Catholic University of America

Kiran Bhutani

Department Chair and Ordinary Professor

Ph.D. in Mathematics, McMaster University, Ontario, Canada

  • Advisor: Benhard Banaschewski
  • Thesis: "Abelian Groups in a Topos of Sheaves on a Locale"

M.Sc. in Mathematics, McMaster Univeristy, Ontario, Canada
M.Sc. in Mathematics, Indian Institute of Technology, New Delhi, India
B.A. in Mathematics, Delhi University, New Delhi, India

Research Interest

Graph theory, and its applications to theoretical computer science. Fuzzy logic and its applications.

Selected Publications


John Mordeson, Kiran R. Bhutani, and Azriel Rosenfeld. Fuzzy Group Theory. Springer-Verlag, 2005.


  • S.V. Divya Rashmi, S. Arumugam, Kiran R. Bhutani, and Peter Gartland. " Perfect Secure Domination in Graphs, Categories and General Algebraic Structures with Applications." (Accepted 2017)

  • S. Arumugam, Kiran Bhutani, and L. Sathikala. "On (r,s)-fuzzy Domination in Fuzzy Graphs." New Mathematics and Natural Computation, Vol 12, No. 1, 2016 (1-10).

  • Bilal Khan and Kiran R. Bhutani. "Additive Operations on Flow Graphs." AKCE International Journal of Graphs and Combinatorics, Vol. 11, No. 2 (2014), 133-148.

  • Bilal Khan and Kiran R. Bhutani. "Compression and Expansion in Graphs using Overlays." Networks, Volume 58, Pages 36-42, 2011.

Contact Information

Office: Aquinas 116D
Email :
Phone: (202) 319 - 6774