Iliya Bluskov, Ph.D.
Affiliation: Department
of Mathematics, University of
Northern British Columbia, Prince George, Canada
Phone: (250) 960-6626
FAX: (250) 960-5544
Office: 10-2030
Teaching.
Curriculum Vitae.
Research Interests: Discrete mathematics:
Designs, Coverings, Combinatorics, Optimization algorithms (see some
other home
pages of combinatorial people).
Related sites: The World
Combinatorics Exchange; Journals.
Some Publications:
- New Results on GDDs, Covering, Packing and Directable Designs
with Block Size 5, accepted for publication in Journal of
Combinatorial Design, 2009 (joint with A. Assaf, J. Abel, M. Greig and
N.
Shalaby).
- Powers Ending in 00...01, accepted for publication in
Mathematical Gazette, 2008.
- Pair Covering and Other Designs with Block Size 6, Journal of
Combinatorial Design, 15(2007), 511-533
(joint with J. Abel, J. de Heer and M. Greig).
- On the Covering Numbers C_2(v,k,t), Journal of Combinatorial
Mathematics and Combinatorial Computing,
63(2007), 17-32.
- Pair Covering Designs with Block Size 5 with Higher Index
- The Case of v Even, Journal of Combinatorial Mathematics and
Combinatorial Computing, 58(2006), 211-222 (joint with M. Greig).
- Pair Covering Designs with Block Size 5, Discrete Mathematics,
307(2006), 1776-1791 (joint with J. Abel, A. Assaf, F. Bennett and M.
Greig).
- Balanced Incomplete Block Designs with Block Size 9: Part
III, Australasian Journal of Combinatorics, 30(2004), 57-73
(joint with J. Abel and M. Greig).
- Upper Bounds on the General Covering Number C(v,k,t,m), Journal
of Combinatorial Designs, vol. 12, 5(2004), 362-380 (joint with
R. Bertolo and H. Hamalainen).
- Balanced Incomplete Block Designs with Block Size 9: Part
II, Discrete Mathematics, 279(2004), 5-32 (joint with
J. Abel and M. Greig).
- Level-Dependent Experimental Optimization, Journal of
Combinatorial Mathematics and Combinatorial Computing, 42(2002),
139-145.
- Balanced Incomplete Block Designs with Block Size 9 and
$\lambda$=2,4 and 8, Codes, Designs and Cryptography, 26(2002), 33-59
(joint with J. Abel and M. Greig).
- Balanced Incomplete Block Designs with Block Size 8, Journal of
Combinatorial Designs, 9(2001), 233-268 (joint with J. Abel and
M. Greig).
- Super-simple designs with v<32, Journal of Statistical
Planning and Inference, 95(2001), 121-131 (joint with K. Heinrich).
- On the Number of Mutually Disjoint Cyclic Designs and Large Sets
of Designs, Journal of Statistical Planning and Inference,
95(2001), 133-142 (joint with S. Magliveras).
- Infinite Classes of Covering Numbers, Canadian Mathematical
Bulletin, 43(2000), 385-396 (joint with M. Greig and K. Heinrich).
- Optimization Algorithms and Cyclic Designs, Journal of Geometry,
67(2000), 42-49.
- General Upper Bounds on The Minimum Size of Covering Designs,
Journal of Combinatorial Theory A, 86(1999), 205-213 (joint with K.
Heinrich).
- New Simple 3-Designs on 26 and 28 Points, Ars Combinatoria,
51(1999), 313-318.
- New Upper Bounds on the Minimum Size of Covering Designs,
Journal of Combinatorial Designs, vol.6, No.1 (1998), 21-41 (joint with
H. Hamalainen).
- Some t-Designs are Minimal (t+1)-Coverings, Discrete Mathematics
188(1998), 245-251.
- New Designs, Journal of Combinatorial Mathematics and
Combinatorial Computing, 23(1997), 212-220.
- Designs with Maximally Different Blocks and v=15,16, Utilitas
Mathematica, 50(1996), 203-213.
- Designs with Maximally Different Blocks, Utilitas Mathematica,
48(1995), 193-201.
- The Preparata Codes and a Class of 4-Designs, Journal of
Combinatorial Designs, 2(1994), 167-170 (joint with A. Baartmans and V.
Tonchev).
Something wrong? Well, you can always complain
about me...
Last updated: October, 2009..