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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{M. S. Maclean} and \textit{Š. Miklavič}, Ars Math. Contemp. 18, No. 2, 187--210 (2020; Zbl 1464.05360) Full Text: DOI
MacLean, Mark S.; Miklavič, Štefko Bipartite distance-regular graphs and taut pairs of pseudo primitive idempotents. (English) Zbl 1417.05250 Algebr. Comb. 2, No. 4, 499-520 (2019). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{M. S. MacLean} and \textit{Š. Miklavič}, Algebr. Comb. 2, No. 4, 499--520 (2019; Zbl 1417.05250) Full Text: DOI
MacLean, Mark S.; Miklavič, Štefko On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two. (English) Zbl 1352.05196 Linear Algebra Appl. 515, 275-297 (2017). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{M. S. MacLean} and \textit{Š. Miklavič}, Linear Algebra Appl. 515, 275--297 (2017; Zbl 1352.05196) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. S. MacLean} et al., Linear Algebra Appl. 496, 307--330 (2016; Zbl 1331.05237) Full Text: DOI
MacLean, Mark S. A new characterization of taut distance-regular graphs of odd diameter. (English) Zbl 1278.05251 Discrete Math. 315-316, 18-28 (2014). MSC: 05E30 05C12 05C50 PDFBibTeX XMLCite \textit{M. S. MacLean}, Discrete Math. 315--316, 18--28 (2014; Zbl 1278.05251) Full Text: DOI
Maclean, Mark S. A new approach to the bipartite fundamental bound. (English) Zbl 1254.05054 Discrete Math. 312, No. 21, 3195-3202 (2012). Reviewer: Dragan Stevanović (Niš) MSC: 05C12 05C50 05E30 PDFBibTeX XMLCite \textit{M. S. Maclean}, Discrete Math. 312, No. 21, 3195--3202 (2012; Zbl 1254.05054) Full Text: DOI
MacLean, Mark S.; Terwilliger, Paul The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two. (English) Zbl 1136.05076 Discrete Math. 308, No. 7, 1230-1259 (2008). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 05E30 20D15 PDFBibTeX XMLCite \textit{M. S. MacLean} and \textit{P. Terwilliger}, Discrete Math. 308, No. 7, 1230--1259 (2008; Zbl 1136.05076) Full Text: DOI arXiv
MacLean, Mark S.; Terwilliger, Paul Taut distance-regular graphs and the subconstituent algebra. (English) Zbl 1100.05104 Discrete Math. 306, No. 15, 1694-1721 (2006). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E30 PDFBibTeX XMLCite \textit{M. S. MacLean} and \textit{P. Terwilliger}, Discrete Math. 306, No. 15, 1694--1721 (2006; Zbl 1100.05104) Full Text: DOI arXiv
Caughman, John S.; Maclean, Mark S.; Terwilliger, Paul M. The Terwilliger algebra of an almost-bipartite \(P\)- and \(Q\)-polynomial association scheme. (English) Zbl 1063.05135 Discrete Math. 292, No. 1-3, 17-44 (2005). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 05E30 PDFBibTeX XMLCite \textit{J. S. Caughman} et al., Discrete Math. 292, No. 1--3, 17--44 (2005; Zbl 1063.05135) Full Text: DOI arXiv
MacLean, Mark S. Taut distance-regular graphs of even diameter. (English) Zbl 1047.05044 J. Comb. Theory, Ser. B 91, No. 1, 127-142 (2004). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 05E30 PDFBibTeX XMLCite \textit{M. S. MacLean}, J. Comb. Theory, Ser. B 91, No. 1, 127--142 (2004; Zbl 1047.05044) Full Text: DOI
MacLean, Mark S. Taut distance-regular graphs of odd diameter. (English) Zbl 1014.05072 J. Algebr. Comb. 17, No. 2, 125-147 (2003). Reviewer: Alexandre A.Makhnev (Ekaterinburg) MSC: 05E30 PDFBibTeX XMLCite \textit{M. S. MacLean}, J. Algebr. Comb. 17, No. 2, 125--147 (2003; Zbl 1014.05072) Full Text: DOI
MacLean, Mark S. An inequality involving two eigenvalues of a bipartite distance-regular graph. (English) Zbl 1001.05124 Discrete Math. 225, No. 1-3, 193-216 (2000). MSC: 05E30 05C50 PDFBibTeX XMLCite \textit{M. S. MacLean}, Discrete Math. 225, No. 1--3, 193--216 (2000; Zbl 1001.05124) Full Text: DOI