Brian Curtin's Publications
31.
B. Curtin, G.R. Pourgholi, and H. Yousefi-Azari,
On the punctured power graph of a finite group
Australas. J. Combin.
62
(2015)
1-7.
Journal table of contents
MR3337172
30.
H. Alnajjar and B. Curtin,
Leonard triples from the equitable basis of sl(2).
Linear Algebra Appl.
482
(2015),
47-54.
journal article page
MR3365264 | doi:10.1016/j.laa.2015.05.018
27.
H. Alnajjar and B. Curtin,
A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis of sl(2).
Linear Multilinear Algebra
61
(2013), no. 12,
1668-1674.
journal article page
MR3175393 | doi:10.1080/03081087.2012.753597
25.
H. Alnajjar and B. Curtin,
Leonard pairs from the equitable basis of sl(2).
Electron. J. Linear Algebra
20
(2010),
490-505.
journal article page
MR2735969 | doi:10.13001/1081-3810.1389
24.
B. Curtin and I. Daqqa,
The subconstituent algebra of strongly regular graphs associated with a Latin square
Designs, Codes, and Cryptography
52(3)
(2009)
263-274.
journal article page (subscription)
MR2506727 | doi:10.1007/s10623-009-9281-3
23.
B. Curtin and I. Daqqa,
The subconstituent algebra of a Latin square
European Journal of Combinatorics
30(2)
(2009),
447-457.
journal article page
MR2489277 | doi:10.1016/j.ejc.2008.04.003
21.
B. Curtin,
Inheritence of hyper-duality in imprimitive Bose-Mesner algebras
Discrete Mathematics
308(15)
(2008),
3003-3017.
journal article page
MR2413877 | doi:10.1016/j.disc.2007.08.025
20.
H. Alnajjar and B. Curtin,
A bilinear form for tridiagonal pairs of q-Serre type.
Linear Algebra Appl.
428
(2008), no. 11-12,
2688-2698.
journal article page
MR2416580 | doi:10.1016/j.laa.2007.12.015
17.
B. Curtin,
Modular Leonard triples.
Linear Algebra Appl.
424
(2007), no. 2-3,
510-539.
journal article page
MR2329491 | doi:10.1016/j.laa.2007.02.024
16.
B. Curtin,
Algebraic characterizations of graph regularity conditions
Designs, Codes and Cryptography
34(2)
(2005)
241-248.
journal article page
MR2128333 | doi: 10.1007/s10623-004-4857-4
15.
H. Alnajjar and B. Curtin,
A family of tridiagonal pairs related to the quantum affine algebra Uq(sl(2)).
Electron. J. Linear Algebra
13
(2005),
1-9.
journal article page
MR2148891| doi:10.13001/1081-3810.1147
14.
B. Curtin and K. Nomura,
1-Homogeneous, pseudo 1-homogeneous, and 1-thin distance-regular graphs
J. Combin. Theory Ser. B
93(2)
(2005),
279-302.
journal article page
MR2117939 | doi:10.1016/j.jctb.2004.10.003
13.
H. Alnajjar and B. Curtin,
A family of tridiagonal pairs.
Linear Algebra Appl.
390
(2004),
369-384.
journal article page
MR2083667| doi:10.1016/j.laa.2004.05.003
12.
B. Curtin and K. Nomura,
Homogeneity of a distance-regular graph which support a spin model
J. Alg. Combin.
19
(2004), no. 3,
257-272.
journal article page (subscription)
MR2071473 | doi:10.1023/B:JACO.0000030702.58352.f7
11.
B. Curtin,
Some planar algebras related to graphs
Pacific Journal of Mathematics
209
(2003), no. 2,
231-248.
journal article page
MR1978369 | doi:10.2140/pjm.2003.209.231
10.
B. Curtin,
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph
J. Combin. Theory Ser. B.
81
(2001), no. 1,
125-141.
journal article page
MR1809430 | doi:10.1006/jctb.2000.2002
9.
B. Curtin and K. Nomura,
Spin models and strongly hyper-self-dual Bose-Mesner algebras
J. Alg. Combin.
13
(2001), no. 2,
173-186.
journal article page (subscription)
MR1826951 | doi:10.1023/A:1011297515395
8.
B. Curtin and K. Nomura,
Distance-regular graphs related to the quantum enveloping
algebra of sl(2).
Journal of Algebraic Combinatorics
12
(2000), no. 1,
25-36.
journal article page (subscription)
MR1791444 | doi:10.1023/A:1008707417118
7.
B. Curtin,
Almost 2-homogeneous bipartite distance-regular graphs
European J. Combin.
21
(2000), no. 7,
865-876.
journal article page
MR1787900 | doi:10.1006/eujc.2000.0399
5.
B. Curtin,
Distance-regular graphs which support a spin model are thin
Discr. Math.
197--198
(1999),
205-216.
journal article page
MR1674863 | doi:10.1016/S0012-365X(99)90065-1
4.
B. Curtin,
The local structure of a bipartite distance-regular graph.
European Journal of Combinatorics
20
(1999), no. 8,
739-758.
journal article page
MR1730822 | doi:10.1006/eujc.1999.0307
2.
B. Curtin,
Bipartite distance-regular graphs. II.
Graphs and Combinatorics
15
(1999), no. 4,
377-391.
journal article page (subscription)
MR1735086 | doi:10.1007/s003730050072
1.
B. Curtin,
2-Homogeneous bipartite distance-regular graphs
Discr. Math.
187
(1998)
39-70.
journal article page
MR1630676 | doi:10.1016/S0012-365X(97)00226-4