## Curtin, Brian

Compute Distance To:
 Author ID: 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
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### Co-Authors

 14 single-authored 6 Alnajjar, Hasan 6 Nomura, Kazumasa 4 Pourgholi, G. R. 2 Daqqa, Ibtisam 1 Michael, Ena Salter 1 Salter, Ena 1 Yousefi-Azari, Hassan
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### Serials

 4 Linear Algebra and its Applications 4 Journal of Algebraic Combinatorics 3 Discrete Mathematics 3 Journal of Combinatorial Theory. Series B 3 European Journal of Combinatorics 2 The Fibonacci Quarterly 2 Graphs and Combinatorics 2 Designs, Codes and Cryptography 2 ELA. The Electronic Journal of Linear Algebra 2 RIMS Kokyuroku 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Journal of Number Theory 1 Pacific Journal of Mathematics 1 The Australasian Journal of Combinatorics 1 The Ramanujan Journal 1 Journal of Algebra and Discrete Structures
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### Fields

 31 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 5 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX)

### 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
1998
Modular Leonard triples. Zbl 1124.15001
Curtin, Brian
2007
Bipartite distance-regular graphs. I. Zbl 0927.05083
Curtin, Brian
1999
Bipartite distance-regular graphs. II. Zbl 0939.05088
Curtin, Brian
1999
Distance-regular graphs which support a spin model are thin. Zbl 0929.05095
Curtin, Brian
1999
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
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
2005
A family of tridiagonal pairs. Zbl 1060.15006
Alnajjar, Hasan; Curtin, Brian
2004
Distance-regular graphs related to the quantum enveloping algebra of $$sl(2)$$. Zbl 0967.05067
Curtin, Brian; Nomura, Kazumasa
2000
Almost 2-homogeneous bipartite distance-regular graphs. Zbl 1002.05069
Curtin, Brian
2000
Edge-maximality of power graphs of finite cyclic groups. Zbl 1303.05084
Curtin, Brian; Pourgholi, G. R.
2014
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph. Zbl 1023.05139
Curtin, Brian
2001
The local structure of a bipartite distance-regular graph. Zbl 0940.05074
Curtin, Brian
1999
Some formulas for spin models on distance-regular graphs. Zbl 0930.05101
Curtin, Brian; Nomura, Kazumasa
1999
Leonard pairs from the equitable basis of $$sl_2$$. Zbl 1215.33008
Alnajjar, Hasan; Curtin, Brian
2010
A bilinear form for tridiagonal pairs of $$q$$-Serre type. Zbl 1194.05166
Alnajjar, Hasan; Curtin, Brian
2008
On the punctured power graph of a finite group. Zbl 1321.05107
Curtin, B.; Pourgholi, G. R.; Yousefi-Azari, H.
2015
Spin models and strongly hyper-self-dual Bose-Mesner algebras. Zbl 0979.05111
Curtin, Brian; Nomura, Kazumasa
2001
1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs. Zbl 1060.05101
Curtin, Brian; Nomura, Kazumasa
2005
An Euler totient sum inequality. Zbl 1403.11004
Curtin, Brian; Pourgholi, G. R.
2016
A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis of $$sl_{2}$$. Zbl 1322.17005
Alnajjar, Hasan; Curtin, Brian
2013
Algebraic characterizations of graph regularity conditions. Zbl 1055.05154
Curtin, Brian
2005
A group sum inequality and its application to power graphs. Zbl 1306.20025
Curtin, Brian; Pourgholi, G. R.
2014
Leonard triples from the equitable basis of $$sl_2$$. Zbl 1394.17015
Alnajjar, Hasan; Curtin, Brian
2015
Some planar algebras related to graphs. Zbl 1059.46042
Curtin, Brian
2003
Hyper-duality of type II Bose-Mesner algebras. Zbl 1200.05259
Curtin, B.
2008
Association schemes related to the quantum group $$U_q(sl(2))$$. Zbl 0935.05102
Curtin, Brian; Nomura, Kazumasa
1998
The subconstituent algebra of a Latin square. Zbl 1200.05260
Curtin, Brian; Daqqa, Ibtisam
2009
Homogeneity of a distance-regular graph which supports a spin model. Zbl 1043.05112
Curtin, Brian; Nomura, Kazumasa
2004
An Euler totient sum inequality. Zbl 1403.11004
Curtin, Brian; Pourgholi, G. R.
2016
On the punctured power graph of a finite group. Zbl 1321.05107
Curtin, B.; Pourgholi, G. R.; Yousefi-Azari, H.
2015
Leonard triples from the equitable basis of $$sl_2$$. Zbl 1394.17015
Alnajjar, Hasan; Curtin, Brian
2015
Edge-maximality of power graphs of finite cyclic groups. Zbl 1303.05084
Curtin, Brian; Pourgholi, G. R.
2014
A group sum inequality and its application to power graphs. Zbl 1306.20025
Curtin, Brian; Pourgholi, G. R.
2014
A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis of $$sl_{2}$$. Zbl 1322.17005
Alnajjar, Hasan; Curtin, Brian
2013
Leonard pairs from the equitable basis of $$sl_2$$. Zbl 1215.33008
Alnajjar, Hasan; Curtin, Brian
2010
The subconstituent algebra of a Latin square. Zbl 1200.05260
Curtin, Brian; Daqqa, Ibtisam
2009
A bilinear form for tridiagonal pairs of $$q$$-Serre type. Zbl 1194.05166
Alnajjar, Hasan; Curtin, Brian
2008
Hyper-duality of type II Bose-Mesner algebras. Zbl 1200.05259
Curtin, B.
2008
Modular Leonard triples. Zbl 1124.15001
Curtin, Brian
2007
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
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
2005
1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs. Zbl 1060.05101
Curtin, Brian; Nomura, Kazumasa
2005
Algebraic characterizations of graph regularity conditions. Zbl 1055.05154
Curtin, Brian
2005
A family of tridiagonal pairs. Zbl 1060.15006
Alnajjar, Hasan; Curtin, Brian
2004
Homogeneity of a distance-regular graph which supports a spin model. Zbl 1043.05112
Curtin, Brian; Nomura, Kazumasa
2004
Some planar algebras related to graphs. Zbl 1059.46042
Curtin, Brian
2003
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular graph. Zbl 1023.05139
Curtin, Brian
2001
Spin models and strongly hyper-self-dual Bose-Mesner algebras. Zbl 0979.05111
Curtin, Brian; Nomura, Kazumasa
2001
Distance-regular graphs related to the quantum enveloping algebra of $$sl(2)$$. Zbl 0967.05067
Curtin, Brian; Nomura, Kazumasa
2000
Almost 2-homogeneous bipartite distance-regular graphs. Zbl 1002.05069
Curtin, Brian
2000
Bipartite distance-regular graphs. I. Zbl 0927.05083
Curtin, Brian
1999
Bipartite distance-regular graphs. II. Zbl 0939.05088
Curtin, Brian
1999
Distance-regular graphs which support a spin model are thin. Zbl 0929.05095
Curtin, Brian
1999
The local structure of a bipartite distance-regular graph. Zbl 0940.05074
Curtin, Brian
1999
Some formulas for spin models on distance-regular graphs. Zbl 0930.05101
Curtin, Brian; Nomura, Kazumasa
1999
2-homogeneous bipartite distance-regular graphs. Zbl 0958.05143
Curtin, Brian
1998
Association schemes related to the quantum group $$U_q(sl(2))$$. Zbl 0935.05102
Curtin, Brian; Nomura, Kazumasa
1998
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### 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
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### 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
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### Cited in 19 Fields

 148 Combinatorics (05-XX) 49 Special functions (33-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 33 Nonassociative rings and algebras (17-XX) 28 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 8 Quantum theory (81-XX) 3 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)