# Dr Ian Anderson

**Honorary Research Fellow**(School of Mathematics & Statistics)

**email**:
Ian.Anderson@glasgow.ac.uk

Mathematics, Mathematics Building

## Publications

**14**.

## 2010

Anderson, I. and Preece, D.A.
(2010)
Combinatorially fruitful properties of 3⋅2−1 and 3⋅2−2 modulo p.
*Discrete Mathematics*, 310(2),
pp. 312-324.
(doi: 10.1016/j.disc.2008.09.046)

Anderson, I. and Preece, D.A.
(2010)
Some narcissistic power-sequence Z(n+1) terraces with n an odd prime power.
*Ars Combinatoria*, 97A,
pp. 33-57.

Anderson, I. and Preece, D.A.
(2010)
Some Z(n-2) terraces from Z(n) power-sequences, n being an odd prime power.
*Glasgow Mathematical Journal*, 52(01),
pp. 65-85.
(doi: 10.1017/S0017089509990164)

## 2008

Anderson, I. and Ellison, L.H.M.
(2008)
Further results on logarithmic terraces.
*Discrete Mathematics*, 308(5-6),
pp. 684-695.
(doi: 10.1016/j.disc.2007.07.055)

Anderson, I. and Preece, D.A.
(2008)
Some da capo directed power-sequence Z_{n+1} terraces with n an odd prime power.
*Discrete Mathematics*, 308(2-3),
pp. 192-206.
(doi: 10.1016/j.disc.2006.11.033)

Anderson, I. and Ellison, J.H.M.
(2008)
Z-cyclic directed moore (2,6) generalised whist tournament designs on p elements, where p equivalent to 7 (mod 12).
*Ars Combinatoria*, 87,
pp. 119-126.

Anderson, I. and Preece, D.
(2008)
A general approach to constructing power-sequence terraces for Zn.
*Discrete Mathematics*, 308(5-6),
pp. 631-644.
(doi: 10.1016/j.disc.2007.07.051)

## 2007

Anderson, I. and Preece, D.A.
(2007)
Some z_{n-1} terraces from z_{n} power-sequences, n being an odd prime power.
*Proceedings of the Edinburgh Mathematical Society*, 50(3),
pp. 527-549.
(doi: 10.1017/S0013091504000045)

## 2005

Anderson, I. and Ellison, L.
(2005)
Z-cyclic ordered triplewhist tournaments on p elements, where p equivalent to 5 (mod 8).
*Discrete Mathematics*, 293,
pp. 11-17.
(doi: 10.1016/j.disc.2004.08.025)

Anderson, I. and Finizio, N.
(2005)
Some new Z-cyclic whist tournament designs.
*Discrete Mathematics*, 293,
pp. 19-28.
(doi: 10.1016/j.disc.2004.08.019)

Anderson, I. and Preece, D.
(2005)
Some power-sequence terraces for Z(pq) with as few segments as possible.
*Discrete Mathematics*, 293,
pp. 29-59.
(doi: 10.1016/j.disc.2004.09.020)

## 2004

Anderson, I. and Preece, D.
(2004)
Narcissistic half-and-half power-sequence terraces for Z(n) with n = pq(t).
*Discrete Mathematics*, 279,
pp. 33-60.
(doi: 10.1016/S0012-365X(03)00261-9)

## 2003

Anderson, I. and Preece, D.
(2003)
Power-sequence terraces for Z(n) where n is an odd prime power.
*Discrete Mathematics*, 261,
pp. 31-58.

## 2002

Anderson, I. and Preece, D.
(2002)
Locally balanced change-over designs.
*Utilitas Mathematica*, 62,
pp. 33-59.

**Tue Aug 16 13:09:08 2022 BST**.

**14**.

## Articles

Anderson, I. and Preece, D.A.
(2010)
Combinatorially fruitful properties of 3⋅2−1 and 3⋅2−2 modulo p.
*Discrete Mathematics*, 310(2),
pp. 312-324.
(doi: 10.1016/j.disc.2008.09.046)

Anderson, I. and Preece, D.A.
(2010)
Some narcissistic power-sequence Z(n+1) terraces with n an odd prime power.
*Ars Combinatoria*, 97A,
pp. 33-57.

Anderson, I. and Preece, D.A.
(2010)
Some Z(n-2) terraces from Z(n) power-sequences, n being an odd prime power.
*Glasgow Mathematical Journal*, 52(01),
pp. 65-85.
(doi: 10.1017/S0017089509990164)

Anderson, I. and Ellison, L.H.M.
(2008)
Further results on logarithmic terraces.
*Discrete Mathematics*, 308(5-6),
pp. 684-695.
(doi: 10.1016/j.disc.2007.07.055)

Anderson, I. and Preece, D.A.
(2008)
Some da capo directed power-sequence Z_{n+1} terraces with n an odd prime power.
*Discrete Mathematics*, 308(2-3),
pp. 192-206.
(doi: 10.1016/j.disc.2006.11.033)

Anderson, I. and Ellison, J.H.M.
(2008)
Z-cyclic directed moore (2,6) generalised whist tournament designs on p elements, where p equivalent to 7 (mod 12).
*Ars Combinatoria*, 87,
pp. 119-126.

Anderson, I. and Preece, D.
(2008)
A general approach to constructing power-sequence terraces for Zn.
*Discrete Mathematics*, 308(5-6),
pp. 631-644.
(doi: 10.1016/j.disc.2007.07.051)

Anderson, I. and Preece, D.A.
(2007)
Some z_{n-1} terraces from z_{n} power-sequences, n being an odd prime power.
*Proceedings of the Edinburgh Mathematical Society*, 50(3),
pp. 527-549.
(doi: 10.1017/S0013091504000045)

Anderson, I. and Ellison, L.
(2005)
Z-cyclic ordered triplewhist tournaments on p elements, where p equivalent to 5 (mod 8).
*Discrete Mathematics*, 293,
pp. 11-17.
(doi: 10.1016/j.disc.2004.08.025)

Anderson, I. and Finizio, N.
(2005)
Some new Z-cyclic whist tournament designs.
*Discrete Mathematics*, 293,
pp. 19-28.
(doi: 10.1016/j.disc.2004.08.019)

Anderson, I. and Preece, D.
(2005)
Some power-sequence terraces for Z(pq) with as few segments as possible.
*Discrete Mathematics*, 293,
pp. 29-59.
(doi: 10.1016/j.disc.2004.09.020)

Anderson, I. and Preece, D.
(2004)
Narcissistic half-and-half power-sequence terraces for Z(n) with n = pq(t).
*Discrete Mathematics*, 279,
pp. 33-60.
(doi: 10.1016/S0012-365X(03)00261-9)

Anderson, I. and Preece, D.
(2003)
Power-sequence terraces for Z(n) where n is an odd prime power.
*Discrete Mathematics*, 261,
pp. 31-58.

Anderson, I. and Preece, D.
(2002)
Locally balanced change-over designs.
*Utilitas Mathematica*, 62,
pp. 33-59.

**Tue Aug 16 13:09:08 2022 BST**.