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Author ID: curtin.brian Recent zbMATH articles by "Curtin, Brian"
Published as: Curtin, Brian; Curtin, B.
External Links: ORCID
Documents Indexed: 34 Publications since 1997
Co-Authors: 7 Co-Authors with 20 Joint Publications
26 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 437 times in 189 Documents Cited by Year
2-homogeneous bipartite distance-regular graphs. Zbl 0958.05143
Curtin, Brian
45
1998
Modular Leonard triples. Zbl 1124.15001
Curtin, Brian
40
2007
Bipartite distance-regular graphs. I. Zbl 0927.05083
Curtin, Brian
38
1999
Bipartite distance-regular graphs. II. Zbl 0939.05088
Curtin, Brian
29
1999
Distance-regular graphs which support a spin model are thin. Zbl 0929.05095
Curtin, Brian
27
1999
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
26
2007
A family of tridiagonal pairs related to the quantum affine algebra \(U_q(\widehat{\text{sl}_2})\). Zbl 1074.15002
Alnajjar, Hasan; Curtin, Brian
26
2005
A family of tridiagonal pairs. Zbl 1060.15006
Alnajjar, Hasan; Curtin, Brian
24
2004
Distance-regular graphs related to the quantum enveloping algebra of \(sl(2)\). Zbl 0967.05067
Curtin, Brian; Nomura, Kazumasa
23
2000
Almost 2-homogeneous bipartite distance-regular graphs. Zbl 1002.05069
Curtin, Brian
21
2000
Edge-maximality of power graphs of finite cyclic groups. Zbl 1303.05084
Curtin, Brian; Pourgholi, G. R.
20
2014
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph. Zbl 1023.05139
Curtin, Brian
18
2001
The local structure of a bipartite distance-regular graph. Zbl 0940.05074
Curtin, Brian
14
1999
Some formulas for spin models on distance-regular graphs. Zbl 0930.05101
Curtin, Brian; Nomura, Kazumasa
12
1999
Leonard pairs from the equitable basis of \(sl_2\). Zbl 1215.33008
Alnajjar, Hasan; Curtin, Brian
11
2010
A bilinear form for tridiagonal pairs of \(q\)-Serre type. Zbl 1194.05166
Alnajjar, Hasan; Curtin, Brian
11
2008
On the punctured power graph of a finite group. Zbl 1321.05107
Curtin, B.; Pourgholi, G. R.; Yousefi-Azari, H.
9
2015
Spin models and strongly hyper-self-dual Bose-Mesner algebras. Zbl 0979.05111
Curtin, Brian; Nomura, Kazumasa
8
2001
1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs. Zbl 1060.05101
Curtin, Brian; Nomura, Kazumasa
8
2005
An Euler totient sum inequality. Zbl 1403.11004
Curtin, Brian; Pourgholi, G. R.
7
2016
A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis of \(sl_{2}\). Zbl 1322.17005
Alnajjar, Hasan; Curtin, Brian
4
2013
Algebraic characterizations of graph regularity conditions. Zbl 1055.05154
Curtin, Brian
4
2005
A group sum inequality and its application to power graphs. Zbl 1306.20025
Curtin, Brian; Pourgholi, G. R.
3
2014
Leonard triples from the equitable basis of \(sl_2\). Zbl 1394.17015
Alnajjar, Hasan; Curtin, Brian
2
2015
Some planar algebras related to graphs. Zbl 1059.46042
Curtin, Brian
2
2003
Hyper-duality of type II Bose-Mesner algebras. Zbl 1200.05259
Curtin, B.
2
2008
Association schemes related to the quantum group \(U_q(sl(2))\). Zbl 0935.05102
Curtin, Brian; Nomura, Kazumasa
1
1998
The subconstituent algebra of a Latin square. Zbl 1200.05260
Curtin, Brian; Daqqa, Ibtisam
1
2009
Homogeneity of a distance-regular graph which supports a spin model. Zbl 1043.05112
Curtin, Brian; Nomura, Kazumasa
1
2004
An Euler totient sum inequality. Zbl 1403.11004
Curtin, Brian; Pourgholi, G. R.
7
2016
On the punctured power graph of a finite group. Zbl 1321.05107
Curtin, B.; Pourgholi, G. R.; Yousefi-Azari, H.
9
2015
Leonard triples from the equitable basis of \(sl_2\). Zbl 1394.17015
Alnajjar, Hasan; Curtin, Brian
2
2015
Edge-maximality of power graphs of finite cyclic groups. Zbl 1303.05084
Curtin, Brian; Pourgholi, G. R.
20
2014
A group sum inequality and its application to power graphs. Zbl 1306.20025
Curtin, Brian; Pourgholi, G. R.
3
2014
A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis of \(sl_{2}\). Zbl 1322.17005
Alnajjar, Hasan; Curtin, Brian
4
2013
Leonard pairs from the equitable basis of \(sl_2\). Zbl 1215.33008
Alnajjar, Hasan; Curtin, Brian
11
2010
The subconstituent algebra of a Latin square. Zbl 1200.05260
Curtin, Brian; Daqqa, Ibtisam
1
2009
A bilinear form for tridiagonal pairs of \(q\)-Serre type. Zbl 1194.05166
Alnajjar, Hasan; Curtin, Brian
11
2008
Hyper-duality of type II Bose-Mesner algebras. Zbl 1200.05259
Curtin, B.
2
2008
Modular Leonard triples. Zbl 1124.15001
Curtin, Brian
40
2007
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
26
2007
A family of tridiagonal pairs related to the quantum affine algebra \(U_q(\widehat{\text{sl}_2})\). Zbl 1074.15002
Alnajjar, Hasan; Curtin, Brian
26
2005
1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs. Zbl 1060.05101
Curtin, Brian; Nomura, Kazumasa
8
2005
Algebraic characterizations of graph regularity conditions. Zbl 1055.05154
Curtin, Brian
4
2005
A family of tridiagonal pairs. Zbl 1060.15006
Alnajjar, Hasan; Curtin, Brian
24
2004
Homogeneity of a distance-regular graph which supports a spin model. Zbl 1043.05112
Curtin, Brian; Nomura, Kazumasa
1
2004
Some planar algebras related to graphs. Zbl 1059.46042
Curtin, Brian
2
2003
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph. Zbl 1023.05139
Curtin, Brian
18
2001
Spin models and strongly hyper-self-dual Bose-Mesner algebras. Zbl 0979.05111
Curtin, Brian; Nomura, Kazumasa
8
2001
Distance-regular graphs related to the quantum enveloping algebra of \(sl(2)\). Zbl 0967.05067
Curtin, Brian; Nomura, Kazumasa
23
2000
Almost 2-homogeneous bipartite distance-regular graphs. Zbl 1002.05069
Curtin, Brian
21
2000
Bipartite distance-regular graphs. I. Zbl 0927.05083
Curtin, Brian
38
1999
Bipartite distance-regular graphs. II. Zbl 0939.05088
Curtin, Brian
29
1999
Distance-regular graphs which support a spin model are thin. Zbl 0929.05095
Curtin, Brian
27
1999
The local structure of a bipartite distance-regular graph. Zbl 0940.05074
Curtin, Brian
14
1999
Some formulas for spin models on distance-regular graphs. Zbl 0930.05101
Curtin, Brian; Nomura, Kazumasa
12
1999
2-homogeneous bipartite distance-regular graphs. Zbl 0958.05143
Curtin, Brian
45
1998
Association schemes related to the quantum group \(U_q(sl(2))\). Zbl 0935.05102
Curtin, Brian; Nomura, Kazumasa
1
1998
all top 5

Cited by 114 Authors

47 Terwilliger, Paul M.
25 Nomura, Kazumasa
18 Curtin, Brian
18 Miklavič, Štefko
17 Gao, Suogang
17 Hou, Bo
15 MacLean, Mark S.
10 Ito, Tatsuro
6 Huang, Hau-wen
6 Penjic, Safet
6 Prasad Panda, Ramesh
5 Alnajjar, Hasan
5 Caughman, John S. IV
4 Lang, Michael S.
4 Patra, Kamal Lochan
4 Sahoo, Binod Kumar
3 Bockting-Conrad, Sarah
3 Cameron, Peter Jephson
3 Chattopadhyay, Sriparna
3 Funk-Neubauer, Darren
3 Jurišić, Aleksandar
3 Suzuki, Hiroshi
3 Vidunas, Raimundas
3 Vinet, Luc
3 Wang, Kaishun
3 Wang, Yan
2 Ashrafi, Ali Reza
2 Baseilhac, Pascal
2 Egge, Eric S.
2 Feng, Min
2 Fernández, Blas
2 Go, Junie T.
2 Kim, Joohyung
2 Koolen, Jack H.
2 Lv, Benjian
2 Ma, Xuanlong
2 Manna, Pallabi
2 Mehatari, Ranjit
2 Zhang, Liwei
2 Zhedanov, Alexei S.
2 Žitnik, Arjana
1 Abawajy, Jemal H.
1 Anitha, T.
1 Banica, Teodor
1 Bannai, Eiichi
1 Belliard, Samuel
1 Benkart, Georgia M.
1 Cámara, Marc
1 Carballosa, Walter
1 Cerzo, Diana R.
1 Chan, Ada
1 Chang, Sha
1 Chen, Xiaoyou
1 Crampé, Nicolas
1 Dalal, Sandeep
1 Dalfó, Cristina
1 Daqqa, Ibtisam
1 Delorme, Charles
1 Deng, Aiping
1 Fiol, Miquel Angel
1 Gao, Xiaojuan
1 Genest, Vincent X.
1 Gholami, Ahmad
1 Hamzeh, Asma
1 Hosoya, Rie
1 Jafari, Seid Hadi
1 Jain, Vivek Kumar
1 Kang, Na
1 Kelarev, Andrei Vladimirovich
1 Kong, Qian
1 Kumar, Jitender
1 Kumar, Pradeep
1 Lee, Jaeho
1 Liu, Huan
1 Liu, Yanhua
1 Mamart, Siwaporn
1 Martin, William J.
1 Mehranian, Zeinab
1 Mirzargar, Mahsa
1 Moghaddamfar, Ali Reza
1 Morales, John Vincent S.
1 Mukherjee, Himadri
1 Munemasa, Akihiro
1 Ou, Shikun
1 Pascasio, Arlene A.
1 Pimenta, Rodrigo A.
1 Pourgholi, G. R.
1 Rajkumar, Ragunathan
1 Ren, Yunxiang
1 Rodríguez García, José Manuel
1 Ryan, Joe
1 Sang, Man
1 Sato, Jugo
1 Scapellato, Raffaele
1 Selvaganesh, Lavanya
1 Sigarreta Almira, José María
1 Singh, Shubh Narayan
1 Sumalroj, Supalak
1 Tamizh Chelvam, Thirugnanam
1 Tanaka, Hajime
...and 14 more Authors
all top 5

Cited in 43 Serials

51 Linear Algebra and its Applications
17 European Journal of Combinatorics
16 Discrete Mathematics
14 Journal of Algebraic Combinatorics
9 Communications in Algebra
8 Journal of Algebra and its Applications
7 Journal of Combinatorial Theory. Series B
6 Linear and Multilinear Algebra
6 Journal of Algebra
4 Journal of Combinatorial Theory. Series A
4 Graphs and Combinatorics
4 The Electronic Journal of Combinatorics
2 Discrete Applied Mathematics
2 Letters in Mathematical Physics
2 Nuclear Physics. B
2 Advances in Mathematics
2 Proceedings of the American Mathematical Society
2 Designs, Codes and Cryptography
2 Indagationes Mathematicae. New Series
2 Filomat
2 The Ramanujan Journal
2 Asian-European Journal of Mathematics
2 Ars Mathematica Contemporanea
1 Communications in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Annales de l’Institut Fourier
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Michigan Mathematical Journal
1 Chinese Annals of Mathematics. Series B
1 ELA. The Electronic Journal of Linear Algebra
1 Communications of the Korean Mathematical Society
1 Algebra and Discrete Mathematics
1 AKCE International Journal of Graphs and Combinatorics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Afrika Matematika
1 Electronic Journal of Graph Theory and Applications
1 Special Matrices
1 Algebraic Combinatorics
1 The Art of Discrete and Applied Mathematics

Citations by Year