Brian Curtin's Publications
32.
B. Curtin and G.R. Pourgholi,
An Euler totient inequality
J. Number Theory 163 (2016) 101-113.
journal article page (subscription) | Video abstract
MR3459563 | doi:/10.1016/j.jnt.2015.11.012
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
29.
B. Curtin and G.R. Pourgholi,
A group sum inequality and its application to power graphs
Bull. Aust. Math. Soc. 90(3) (2014), 418-426.
journal article page (subscription) | ArXiv:1311.2983
MR3270756 | doi:10.1017/S0004972714000434
28.
B. Curtin and G.R. Pourgholi,
Edge-maximality of power graphs of finite cyclic groups
J. Algebraic Combin. 40(2) (2014), 313-330.
journal article page (subscription) | ArXiv:1311.2984
MR3239288 | doi:10.1007/s10801-013-0490-5
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
26.
B. Curtin, E. Salter Michael, D. Stone,
Lucas' hyperbolas for Fibonacci vectors
Fibonacci Quarterly 50(1) (2012), 51-57.
Journal table of contents (subscription)
MR2892010
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
22.
B. Curtin,
Hyper-duality of Type II Bose-Mesner algebras
Journal of Applied Algebra and Discrete Structures 6 (2008) 1-11.
Journal table of contents (no article link)
MR2428225
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
19.
B. Curtin, E. Salter Michael, D. Stone,
Some Formulae for the Fibonacci numbers
Fibonacci Quarterly 45(2) (2007), 171-180.
Journal table of contents
MR2407770
18.
B. Curtin,
Spin Leonard pairs.
Ramanujan J. 13 (2007), no. 1-3, 319-332.
journal article page (subscription)
MR2281169 | doi:10.1007/s11139-006-0255-z
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
6.
B. Curtin and K. Nomura,
Some formulas for spin models on distance-regular graphs
J. Combin. Theory Ser. B 75 (1999), 206--236.
journal article page
MR1676889 | doi:10.1006/jctb.1998.1876
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
3.
B. Curtin,
Bipartite distance-regular graphs. I.
Graphs and Combinatorics 15 (1999), no. 2, 143-158.
journal article page (subscription)
MR1701778 | doi:10.1007/s003730050049
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