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Selected Publications in Combinatorial Number Theory
Publications marked with [cp] are refereed conference articles; Book chapters are marked by [bc]; Papers appeared (or to appear) in regular refereed journals have no marks.
- Extremal Cayley graphs of finite cyclic groups,
to appear in Journal of Interconnection Networks,
(joint with Joseph Lee and Elysia Sheu)
- On
random points in the unit disk,
Random Algorithm and Structures,
29(2006), 14–25.
(joint with Robert Ellis
and Catherine Huafei Yan)
- Additive bases and
extremal problems in groups, graphs, and networks,
Utilitas Mathematica, 66(2004), 61–91.
(joint with D.
Frank Hsu)
- Triple loop networks with minimal transmission
delay, International Journal of Foundations of Computer
Science, v.8:3 (1997), pp 395-328.
- Minimal bases and
g-adic representations of integers,
Number Theory, (New York, 1991-1995), 1996, 211-219.
- Extremal Cayley
digraphs of finite cyclic groups,
SIAM J. Disc. Math., v.8:1, 62-75, February, 1995.
- Addition theorems
for $\sigma$-finite groups,
Contemporary Mathematics,
v.166, 1994, 275-284.
- Representation of finite groups as short
products of subsets, Bull. Austral. Math. Soc.,
v.49(1994), 463-467.
- On B2k
sequences,
Journal of Number Theory,
v48:2, 1994, 183-196.
- On finite sidon sequences,
Journal of Number Theory,
v.44:1, May 1993, 84-92.
- Some remarks on
minimal bases and maximal nonbases of integers,
Discrete Mathematics,
v.122, 357-362, 1993.
- Extremal bases for finite cyclic groups,
Journal of Number Theory, v.41:1, May 1992, 116-127.
- Thin bases for
finite nilpotent groups,
Journal of Number Theory,
v.41:3 (1992), 303-313.
- On a problem
of Rohrbach for finite groups, July 1992, unpublished.
- On the order of subsets of asymptotic bases,
Journal of Number Theory, v.37:1 (1991), 37-46.
- Thin bases for finite
abelian groups, Journal of Number Theory,
v.36:2, 1990, 254-256.
- A simple construction
of minimal asymptotic bases,
Acta Arithmetica,
1989, 95-101.
- Simultaneous systems
of representatives for finite families of finite sets,
Proceedings of the American Mathematical Society, v.104:1,
September, 1988, 32-36.
- Exact order of
subsets of asymptotic bases in additive number theory,
Journal of Number Theory,
v.28:2, February 1988, 205-218.
- Representatives for finite sets,
Proceedings of the American Mathematical Society,
v.107:2, October 1989, 347-351.
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