Graphs, Vector Space, and Electrical Circuits

 K. Thulasiraman, “Graphs and Vector Spaces” Chapter in the Handbook of Graph Theory edited by Jonathan Gross and Jay Yellen of Columbia University, CRC Press, 2003.

 K. Thulasiraman, “Signal Flow Graphs”, Chapter in Circuits and Filters Handbook, CRC Press, June 1995. Also in “Mathematics of Circuits and Filters” Ed. W. K. Chen, CRC Press.

K. Thulasiraman “Graph Theory”, Chapter in Circuits and Filters Handbook, CRC Press, June 1995. Also in “Mathematics of Circuits and Filters” Ed. W. K. Chen, CRC Press.

K. Thulasiraman, R. Jayakumar and M. N. S. Swamy, Graph Theoretic Proof of a Network Theorem and Some Consequences, Proc. IEEE, June 1983, pp. 771-772.

K. Thulasiraman and M. A. Comeau, On Determining a Computable Ordering of a Digital Network, Proc. IEEE, Vol. 71, November 1983, pp. 1323-1324.

P. A. Ramamoorthy and K. Thulasiraman, "Active RC n-port Network Synthesis Using Nullators and Norators, IEEE Trans. on Circuit Theory, Vol. CAS-21, March 1974, pp. 206-209.

M. N. S. Swamy, C. Bhushan and K. Thulasiraman,Sensitivity Invariants for Linear Time- invariant Networks, IEEE Trans. on Circuit Theory, Vol. CT-20, January 1973, pp. 21-24.

P. A. Ramamoorthy, K. Sankar Rao and K. Thulasiraman,  Synthesis of Rational Voltage Transfer Matrices Using Minimum Number of Capacitors with Operational Amplifiers”, Proc. IEEE International Symposium on Circuit Theory, April 1973, pp. 294-297.

M. N. S. Swamy, C. Bhushan and K. Thulasiraman,Sensitivity Invariants for Nonlinear  Networks”, IEEE Trans. on Circuit Theory, Vol. CT-19, November 1972, pp. 599-606..

M. N. S. Swamy, C. Bhushan and K. Thulasiraman,Sensitivity Invariants for Active Lumped/Distributed Networks”,  Electronics Letters, January 1972, pp. 26-27. See also ISCAS 1972

M. N. S. Swamy, C. Bhushan and K. Thulasiraman,Simple Sensitivity Formulas in Terms of Immittance Parameters, Electronics Letters, March 1972, pp. 153-154.

M. N. S. Swamy and K. Thulasiraman, Inverse of a Non-Singular Submatrix of a Reduced Incidence Matrix, Matrix and Tensor Quarterly, March 1972, pp. 106-108.

M. N. S. Swamy, C. Bhushan and K. Thulasiraman,Bounds on the Sum of Element Sensitivity Magnitudes for Network Functions, IEEE Trans. on Circuit Theory, Vol. CT-19, Sept. 1972, pp. 502-504. See also M. N. S. Swamy, C. Bhushan and K. Thulasiraman, Bounds on the Sum of Element Sensitivity Magnitudes for Network Function, Proc. IEEE International Symposium on Circuit Theory, 1972.

M. N. S. Swamy, and K. Thulasiraman, Realization of the A-Matrix of RLC Networks, IEEE Trans. on Circuit Theory, Vol. CT-19, Sept. 1972, pp. 515-518. See also M. N. S. Swamy, and K. Thulasiraman, Realization of the A-matrix of RLC Networks, Proc. IEEE International Symposium on Circuit Theory, 1971.

K. Thulasiraman and M. N. S. Swamy,Relationship Between Cutset and Node-Pair Transformation Matrices, Electronics Letters, May 1971, pp. 276-277.

K. Thulasiraman, and M. N. S. Swamy, On a Theorem in Graph Theory, Matrix and Tensor Quarterly, September 1971, pp. 31-32.

K. Thulasiraman and M. N. S. Swamy.Unimodular Property of Fundamental Cutset and Circuit Matrices, Matrix and Tensor Quarterly, December 1971, pp. 65-67.

M. N. S. Swamy and K. Thulasiraman, Synthesis of Multivariable Networks, Proc. Asilomar Conference on Circuits and Systems, November 1971, pp. 571-575.

S. Srinivasan, V. N. Sujeer and K. Thulasiraman,Application of Equivalence Technique in Linear Graph Theory to Restoration Process in a Power System, Journal of the Institution of Engineers, (India), Vol. XLVII, No. 10, June 1967, pp. 526-543.

S. Srinivasan, V. N. Sujeer and K. Thulasiraman, Application of Equivalence Technique in Linear Graph Theory to Reduction Process in a Power System”, Journal of the Institution of Engineers, (India), vol. XLVI, No. 12 June 1966, pp. 528-54