Rattanakangwanwong, Jitsupat; Meemark, Yotsanan Subconstituents of unitary Cayley graph of matrix algebras. (English) Zbl 07505579 Finite Fields Appl. 80, Article ID 102004, 16 p. (2022). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{J. Rattanakangwanwong} and \textit{Y. Meemark}, Finite Fields Appl. 80, Article ID 102004, 16 p. (2022; Zbl 07505579) Full Text: DOI OpenURL
MacLean, Mark S.; Penjić, Safet A combinatorial basis for Terwilliger algebra modules of a bipartite distance-regular graph. (English) Zbl 1466.05226 Discrete Math. 344, No. 7, Article ID 112393, 17 p. (2021). MSC: 05E30 05C12 33C80 PDF BibTeX XML Cite \textit{M. S. MacLean} and \textit{S. Penjić}, Discrete Math. 344, No. 7, Article ID 112393, 17 p. (2021; Zbl 1466.05226) Full Text: DOI OpenURL
Huo, Lijun; Zhang, Gengsheng Orthogonal graph of type \((m,m-1,0)\) of characteristic 2 and its subconstituents. (English) Zbl 1461.05105 Linear Multilinear Algebra 69, No. 4, 681-701 (2021). MSC: 05C25 05E30 PDF BibTeX XML Cite \textit{L. Huo} and \textit{G. Zhang}, Linear Multilinear Algebra 69, No. 4, 681--701 (2021; Zbl 1461.05105) Full Text: DOI OpenURL
Maclean, Mark S.; Miklavič, Štefko On a certain class of 1-thin distance-regular graphs. (English) Zbl 1464.05360 Ars Math. Contemp. 18, No. 2, 187-210 (2020). MSC: 05E30 PDF BibTeX XML Cite \textit{M. S. Maclean} and \textit{Š. Miklavič}, Ars Math. Contemp. 18, No. 2, 187--210 (2020; Zbl 1464.05360) Full Text: DOI OpenURL
Sumalroj, Supalak A diagram associated with the subconstituent algebra of a distance-regular graph. (English) Zbl 1433.05338 Ars Math. Contemp. 17, No. 1, 185-202 (2019). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{S. Sumalroj}, Ars Math. Contemp. 17, No. 1, 185--202 (2019; Zbl 1433.05338) Full Text: DOI arXiv OpenURL
Terwilliger, Paul; Žitnik, Arjana The quantum adjacency algebra and subconstituent algebra of a graph. (English) Zbl 1416.05142 J. Comb. Theory, Ser. A 166, 297-314 (2019). MSC: 05C25 81S25 PDF BibTeX XML Cite \textit{P. Terwilliger} and \textit{A. Žitnik}, J. Comb. Theory, Ser. A 166, 297--314 (2019; Zbl 1416.05142) Full Text: DOI arXiv OpenURL
MacLean, Mark S.; Miklavič, Štefko; Penjić, Safet An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin. (English) Zbl 1404.05042 J. Algebr. Comb. 48, No. 3, 511-548 (2018). MSC: 05C12 PDF BibTeX XML Cite \textit{M. S. MacLean} et al., J. Algebr. Comb. 48, No. 3, 511--548 (2018; Zbl 1404.05042) Full Text: DOI OpenURL
Suzuki, Hiroshi Distance-regular graphs of large diameter that are completely regular clique graphs. (English) Zbl 1401.05319 J. Algebr. Comb. 48, No. 3, 369-404 (2018). MSC: 05E30 05C12 05C40 PDF BibTeX XML Cite \textit{H. Suzuki}, J. Algebr. Comb. 48, No. 3, 369--404 (2018; Zbl 1401.05319) Full Text: DOI OpenURL
Huo, Lijun; Zhang, Gengsheng Subconstituents of the orthogonal graph of type \((m,m-1,0)\) of odd characteristic. (English) Zbl 1361.05141 Linear Algebra Appl. 524, 1-21 (2017). MSC: 05E30 05C25 05E15 PDF BibTeX XML Cite \textit{L. Huo} and \textit{G. Zhang}, Linear Algebra Appl. 524, 1--21 (2017; Zbl 1361.05141) Full Text: DOI OpenURL
Penjić, Safet On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\). (English) Zbl 1351.05066 Discrete Math. 340, No. 3, 452-466 (2017). MSC: 05C12 05C25 05E30 PDF BibTeX XML Cite \textit{S. Penjić}, Discrete Math. 340, No. 3, 452--466 (2017; Zbl 1351.05066) Full Text: DOI OpenURL
Suzuki, Hiroshi Completely regular clique graphs. II. (English) Zbl 1331.05173 J. Algebr. Comb. 43, No. 2, 417-445 (2016). MSC: 05C69 05C40 05C30 05C12 PDF BibTeX XML Cite \textit{H. Suzuki}, J. Algebr. Comb. 43, No. 2, 417--445 (2016; Zbl 1331.05173) Full Text: DOI OpenURL
MacLean, Mark S.; Miklavič, Štefko; Penjić, Safet On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\). (English) Zbl 1331.05237 Linear Algebra Appl. 496, 307-330 (2016). MSC: 05E30 05C50 05C12 PDF BibTeX XML Cite \textit{M. S. MacLean} et al., Linear Algebra Appl. 496, 307--330 (2016; Zbl 1331.05237) Full Text: DOI OpenURL
Suzuki, Hiroshi Completely regular clique graphs. (English) Zbl 1297.05268 J. Algebr. Comb. 40, No. 1, 233-244 (2014). MSC: 05E30 05C12 05C40 05C69 PDF BibTeX XML Cite \textit{H. Suzuki}, J. Algebr. Comb. 40, No. 1, 233--244 (2014; Zbl 1297.05268) Full Text: DOI OpenURL
Lang, Michael S. Bipartite distance-regular graphs: the \(Q\)-polynomial property and pseudo primitive idempotents. (English) Zbl 1297.05264 Discrete Math. 331, 27-35 (2014). MSC: 05E30 PDF BibTeX XML Cite \textit{M. S. Lang}, Discrete Math. 331, 27--35 (2014; Zbl 1297.05264) Full Text: DOI OpenURL
Terwilliger, Paul; Žitnik, Arjana Distance-regular graphs of \(q\)-Racah type and the universal Askey-Wilson algebra. (English) Zbl 1295.05100 J. Comb. Theory, Ser. A 125, 98-112 (2014). MSC: 05C12 05E30 05E15 PDF BibTeX XML Cite \textit{P. Terwilliger} and \textit{A. Žitnik}, J. Comb. Theory, Ser. A 125, 98--112 (2014; Zbl 1295.05100) Full Text: DOI arXiv OpenURL
Li, Fenggao; Wang, Kaishun; Guo, Jun; Ma, Jianmin Suborbits of a point-stabilizer in the unitary group on the last subconstituent of Hermitean dual polar graphs. (English) Zbl 1203.05024 Linear Algebra Appl. 433, No. 2, 333-341 (2010). MSC: 05B25 05C25 05E30 PDF BibTeX XML Cite \textit{F. Li} et al., Linear Algebra Appl. 433, No. 2, 333--341 (2010; Zbl 1203.05024) Full Text: DOI OpenURL
Kim, Joohyung A duality between pairs of split decompositions for a Q-polynomial distance-regular graph. (English) Zbl 1231.05299 Discrete Math. 310, No. 12, 1828-1834 (2010). MSC: 05E30 05C12 05C25 PDF BibTeX XML Cite \textit{J. Kim}, Discrete Math. 310, No. 12, 1828--1834 (2010; Zbl 1231.05299) Full Text: DOI arXiv OpenURL
Curtin, Brian; Daqqa, Ibtisam The subconstituent algebra of a Latin square. (English) Zbl 1200.05260 Eur. J. Comb. 30, No. 2, 447-457 (2009). MSC: 05E30 05B15 PDF BibTeX XML Cite \textit{B. Curtin} and \textit{I. Daqqa}, Eur. J. Comb. 30, No. 2, 447--457 (2009; Zbl 1200.05260) Full Text: DOI OpenURL
Curtin, B. Hyper-duality of type II Bose-Mesner algebras. (English) Zbl 1200.05259 J. Algebra Discrete Struct. 6, No. 1, 1-11 (2008). MSC: 05E30 PDF BibTeX XML Cite \textit{B. Curtin}, J. Algebra Discrete Struct. 6, No. 1, 1--11 (2008; Zbl 1200.05259) OpenURL
Curtin, Brian Inheritance of hyper-duality in imprimitive Bose-Mesner algebras. (English) Zbl 1182.05134 Discrete Math. 308, No. 14, 3003-3017 (2008). MSC: 05E30 PDF BibTeX XML Cite \textit{B. Curtin}, Discrete Math. 308, No. 14, 3003--3017 (2008; Zbl 1182.05134) Full Text: DOI OpenURL
Suzuki, Hiroshi The geometric girth of a distance-regular graph having certain thin irreducible modules for the Terwilliger algebra. (English) Zbl 1085.05071 Eur. J. Comb. 27, No. 2, 235-254 (2006). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 05E30 PDF BibTeX XML Cite \textit{H. Suzuki}, Eur. J. Comb. 27, No. 2, 235--254 (2006; Zbl 1085.05071) Full Text: DOI OpenURL
Terwilliger, Paul; Weng, Chih-wen Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra. (English) Zbl 1035.05104 Eur. J. Comb. 25, No. 2, 287-298 (2004). Reviewer: Alexandre Makhnev (Ekaterinburg) MSC: 05E30 PDF BibTeX XML Cite \textit{P. Terwilliger} and \textit{C.-w. Weng}, Eur. J. Comb. 25, No. 2, 287--298 (2004; Zbl 1035.05104) Full Text: DOI arXiv OpenURL
Curtin, Brian Almost 2-homogeneous bipartite distance-regular graphs. (English) Zbl 1002.05069 Eur. J. Comb. 21, No. 7, 865-876 (2000). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{B. Curtin}, Eur. J. Comb. 21, No. 7, 865--876 (2000; Zbl 1002.05069) Full Text: DOI OpenURL
Ishibashi, Haruo; Ito, Tatsuro; Yamada, Mieko Terwilliger algebras of cyclotomic schemes and Jacobi sums. (English) Zbl 0944.05101 Eur. J. Comb. 20, No. 5, 397-410 (1999). Reviewer: Vesselin Drensky (Sofia) MSC: 05E30 11T24 PDF BibTeX XML Cite \textit{H. Ishibashi} et al., Eur. J. Comb. 20, No. 5, 397--410 (1999; Zbl 0944.05101) Full Text: DOI OpenURL
Tomiyama, Masato; Yamazaki, Norio The subconstituent algebra of a strongly regular graph. (English) Zbl 0842.05098 Kyushu J. Math. 48, No. 2, 323-334 (1994). MSC: 05E30 PDF BibTeX XML Cite \textit{M. Tomiyama} and \textit{N. Yamazaki}, Kyushu J. Math. 48, No. 2, 323--334 (1994; Zbl 0842.05098) Full Text: DOI OpenURL
Ivanov, A. A. Graphs with projective subconstituents which contain short cycles. (English) Zbl 0787.05047 Walker, Keith (ed.), Surveys in combinatorics, 1993. Papers of the fourteenth British combinatorial conference held at Keele, United Kingdom, July 1993. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 187, 173-190 (1993). Reviewer: U.Baumann (Dresden) MSC: 05C25 05C38 05C75 PDF BibTeX XML Cite \textit{A. A. Ivanov}, Lond. Math. Soc. Lect. Note Ser. 187, 173--190 (1993; Zbl 0787.05047) OpenURL
Terwilliger, Paul The subconstituent algebra of an association scheme. II. (English) Zbl 0785.05090 J. Algebr. Comb. 2, No. 1, 73-103 (1993). Reviewer: E.M.Palmer (East Lansing) MSC: 05E30 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Algebr. Comb. 2, No. 1, 73--103 (1993; Zbl 0785.05090) Full Text: DOI OpenURL
Terwilliger, Paul The subconstituent algebra of an association scheme. III. (English) Zbl 0785.05091 J. Algebr. Comb. 2, No. 2, 177-210 (1993). Reviewer: E.M.Palmer (East Lansing) MSC: 05E30 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Algebr. Comb. 2, No. 2, 177--210 (1993; Zbl 0785.05091) Full Text: DOI OpenURL
Terwilliger, Paul The subconstituent algebra of an association scheme. I. (English) Zbl 0785.05089 J. Algebr. Comb. 1, No. 4, 363-388 (1992). Reviewer: E.M.Palmer (East Lansing) MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Algebr. Comb. 1, No. 4, 363--388 (1992; Zbl 0785.05089) Full Text: DOI OpenURL
Praeger, Cheryl E. Primitive permutation groups with a doubly transitive subconstituent. (English) Zbl 0653.20004 J. Aust. Math. Soc., Ser. A 45, No. 1, 66-77 (1988). Reviewer: E.F.Assmus, jun MSC: 20B15 05C25 20B20 PDF BibTeX XML Cite \textit{C. E. Praeger}, J. Aust. Math. Soc., Ser. A 45, No. 1, 66--77 (1988; Zbl 0653.20004) OpenURL