Sorted roughly by theme:
Latin Squares,
Duality ,
Spin Models,
Distance-regular graphs,
Leonard pairs,
Planar algebras,
Fibonacci
| Latin Squares and Terwilliger algebras | ||||||
| LS3. |
The subconstituent algebra of a Bol Loop.
Submitted |
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| LS2. |
The subconstituent algebras of strongly regular graphs associated with a Latin square.
with I. Daqqa Submitted |
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| LS1. |
The subconstituent algebra of a Latin square.
with I. Daqqa Accepted by European Journal of Combinatorics |
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| Duality in Bose-Mesner and Terwilliger algebras | ||||||
| D2. | Hyper-duality of type II Bose-Mesner
algebras.
Accepted by Journal of Applied Algebra and Discrete Structures | |||||
| D1. | Inheritance of Hyper-duality in
imprimitive Bose-Mesner algebras.
Discrete Mathematics 308 (2008) 3003-3017. | |||||
| See also SM4, DGR7 | ||||||
| Spin Models | ||||||
| SM4. |
Spin models and strongly hyper-self-dual Bose-Mesner
algebras.
with K. Nomura Journal of Algebraic Combinatorics 13 (2001), no. 2, 173-186. |
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| MR1826951 - Abstract/Article link | ||||||
| SM3. | Homogeneity of distance-regular graphs
which support a spin model.
with K. Nomura Journal of Algebraic Combinatorics 19 (2004), no. 3, 357-272. |
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| MR2071473 - Abstract/Article link | ||||||
| SM2. |
Distance-regular graphs which support a spin model are thin.
Discrete Mathematics 197/198 (1999), 205-216. |
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| MR1674863 - Abstract/Article link | ||||||
| SM1. |
Some formulas for spin models on distance-regular graphs.
with K. Nomura Journal of Combinatorial Theory, Series B 75 (1999), no. 2, 206-236. | |||||
| MR1676889 - Abstract/Article link | ||||||
| Distance-regular graphs and Terwilliger algebras | ||||||
| DRG9. | Algebraic characterizations of graph
regularity conditions.
Designs, Codes, an Cryptography 34 (2005), no. 2-3, 241-248. |
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| MR2128333 - Abstract/Article link | ||||||
| DRG8. | 1-Homogeneous, pseudo 1-homogeneous,
and 1-thin distance-regular graphs.
with K. Nomura Journal of Combinatorial Theory, Series B 93 (2005), no. 2, 279-302. |
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| MR2128333 - Abstract/Article link | ||||||
| DRG7. | Distance-regular graphs related to the quantum enveloping
algebra of sl(2).
with K. Nomura Journal of Algebraic Combinatorics 12 (2000), no. 1, 25-36. |
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| MR1791444 - Abstract/Article link | ||||||
| DRG6. |
Almost 2-homogeneous bipartite distance-regular graphs.
European Journal of Combinatorics 21 (2000), no. 7, 865-876. | |||||
| MR1787900 - Abstract/Article link | ||||||
| DRG5. |
The Terwilliger algebra of a 2-homogeneous bipartite distance-regular
graph.
Journal of Combinatorial Theory, Series B 81 (2001), no. 1, 125-141. |
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| MR1809430 - Abstract/Article link | ||||||
| DRG4. |
2-homogeneous bipartite distance-regular graphs.
Discrete Mathematics 187 (1998), no. 1-3, 39-70. |
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| MR1630676 - Abstract/Article link | ||||||
| DRG3. |
The local structure of a bipartite distance-regular graph.
European Journal of Combinatorics 20 (1999), no. 8, 739-758. |
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| MR1730822 - Abstract/Article link | ||||||
| DRG2. | Bipartite distance-regular graphs. II.
Graphs and Combinatorics 15 (1999), no. 4, 377-391. |
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| MR1735086 - Abstract/Article link | ||||||
| DRG1. | Bipartite distance-regular graphs. I.
Graphs and Combinatorics 15 (1999), no. 2, 143-158. |
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| MR1701778 - Abstract/Article link | ||||||
| See also LS2, SM1, SM2, SM3 | ||||||
| Leonard and tridiagonal pairs | ||||||
| LP5. | Modular Leonard triples.
Linear algebra and its aplications 424 (2007), no. 2-3, 510-539. | MR2329491 - Abstract/Article link | ||||
| LP4. | Spin Leonard pairs.
Ramanujan Journal 13 (2007), no. 1-3, 319-332. | |||||
| MR2281169 - Abstract/Article link | ||||||
| LP3. | A bilinear form for tridiagonal pairs of q-Serre type.
with H. Alnajjar Linear algebra and its aplications 428 (2008), 2688-2698. |
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| LP2. | A family of tridiagonal pairs related
to the quantum affine algebra Uq(sl(2)^).
with H. Alnajjar Electronic Journal of Linear algebra 13 (2005), 1-9. | |||||
| MR2148891 - Journal Contents | ||||||
| LP1. | A family of tridiagonal pairs.
with H. Alnajjar Linear algebra and its aplications 390 (2004), 369-384. |
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| MR2083667 - Abstract/Article link | ||||||
| Planar algebras | ||||||
| P1. | Some planar algebras related to graphs.
Pacific Journal of Mathematics 209 (2003), no. 2, 231-248. |
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| MR1978369 - Journal Contents | ||||||
| Fibonacci vectors | ||||||
| F2. | Geometry of the Fibonacci vectors.
with Ena Salter and David Stone In preperation. | |||||
| F1. | Some identities for the Fibonacci and Lucas numbers.
with Ena Salter and David Stone Fibonacci Quarterly 45 (2007), 171-180. | |||||