### Dharam Chopra, Professor

Statistics, Combinatorial Mathematics; PhD, University of Nebraska, 1968

### Awards

University Research Grants: 1998-2004

Received Grant from NSA in 1993 for holding the MCCCC in wichita; Received Awards for TCA to hold MCCCC in wichita in 1993,2000, & 2006.
### PhD Students

Mohammad Bsharat, "On the Existence of Balanced Arrays with Two Symbols", PhD thesis, 2002

### Research

Professor Chopra's research interests are in the areas of Statistical
Design of Experiments, Combinatorial Mathematics, and Graph Theory. A part of
his publications include numerous papers on the construction of optimal
fractional factorial designs, some of which have been shown to be optimal in
the class of all fractional factorial designs. He has published extensively on
some combinatorial arrays such as Balanced Arrays and Orthogonal Arrays. He
has also made contributions to the area of Graph Theory, in particular dealing
with edge-balanced graphs. He has presented invited/contributed papers at various National/International conferences.

### Selected Publications

- Chopra, D.V., Low, R.M. and Dios, R. Strength Six Orthogonal Array and their nonexistence. The Journal of Combinatorial Mathematics and Combinatiorial Computing, Vol. 70(2009), pp. 41-48
- Chopra, D.V., Lee, S.M. and and Su, Hsin-Hao. On edge-balance index sets of fans and broken fans. Congressus Numerantium Vol. 196 (2009), 183-202.
- Chorpa, D.V. and Low, Richard M. (Invited Paper) contributins. to balanced arrays of strenght
*t*with applications. Frontiers of Applied and Computational Mathematics, World Scientific Pub. Co. (2008) (New Jersey, U.S.A)
- Chorpa, D.V., Low, R.M. and Dios, R. On the maximum number of constraints for some balanced arrays. Congressus Numerantium 190 (2008), 5-11
- Chorpa, D.V. and Bsharat, M. and Mehta, Gobind P. Some new results on balanced arrays of strength five. The Journal of Combinatorial Mathematics and Combinatorial Computing 66 (2008), 59-64.
- Chopra, D.V. (Invited Paper) Contributions of Statistics to Modern Progress. Choice Vol. 45 (2008), pp. 1097-1107.