Eigenvalue multiplicities of highly symmetric graphs. - Paul M. Terwilliger (Discret. Math., 1982)

The diameter of bipartite distance-regular graphs. - Paul M. Terwilliger (J. Comb. Theory B, 1982)

Distance-regular graphs and (s, c, a, k)-graphs. - Paul M. Terwilliger (J. Comb. Theory B, 1983)

Distance-regular graphs with girth 3 or 4: I. - Paul M. Terwilliger (J. Comb. Theory B, 1985)

The Johnson graph J(d, r) is unique if (d, r) != (2, 8). - Paul M. Terwilliger (Discret. Math., 1986)

A new feasibility condition for distance-regular graphs. - Paul M. Terwilliger (Discret. Math., 1986)

A class of distance-regular graphs that are Q-polynomial. - Paul M. Terwilliger (J. Comb. Theory B, 1986)

Root Systems and The Johnson and Hamming Graphs. - Paul M. Terwilliger (Eur. J. Comb., 1987)

The classification of finite connected hypermetric spaces. - Paul M. Terwilliger; Michel Deza (Graphs Comb., 1987)

A characterization of P- and Q-polynomial association schemes. - Paul M. Terwilliger (J. Comb. Theory A, 1987)

P and Q polynomial schemes with q = -1. - Paul M. Terwilliger (J. Comb. Theory B, 1987)

The classification of distance-regular graphs of type IIB. - Paul M. Terwilliger (Comb., 1988)

Balanced sets andQ-polynomial association schemes. - Paul M. Terwilliger (Graphs Comb., 1988)

P- and Q-Polynomial Association Schemes and Their Antipodal P-Polynomial Covers. - Paul M. Terwilliger (Eur. J. Comb., 1993)

A new inequality for distance-regular graphs. - Paul M. Terwilliger (Discret. Math., 1995)

Kite-free distance-regular graphs. - Paul M. Terwilliger (Eur. J. Comb., 1995)

On Garsia-Remmel problem of rook equivalence. - Kequan Ding; Paul M. Terwilliger (Discret. Math., 1996)

Dual Bipartite Q-polynomial Distance-regular Graphs. - Garth A. Dickie; Paul M. Terwilliger (Eur. J. Comb., 1996)

Some algebra related to P- and Q-polynomial association schemes. - Tatsuro Ito; Kenichiro Tanabe; Paul M. Terwilliger (Codes and Association Schemes, 1999)

Tight Distance-regular Graphs and the Subconstituent Algebra*1. - Junie T. Go; Paul M. Terwilliger (Eur. J. Comb., 2002)

Preface. - Eiichi Bannai; Akihiro Munemasa; Sung-Yell Song; Paul M. Terwilliger (Discret. Math., 2003)

Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra. - Paul M. Terwilliger; Chih-Wen Weng (Eur. J. Comb., 2004)

Two Linear Transformations each Tridiagonal with Respect to an Eigenbasis of the other; Comments on the Parameter Array. - Paul M. Terwilliger (Des. Codes Cryptogr., 2005)

The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme. - John S. Caughman IV; Mark S. MacLean; Paul M. Terwilliger (Discret. Math., 2005)

An inequality for regular near polygons. - Paul M. Terwilliger; Chih-Wen Weng (Eur. J. Comb., 2005)

The Displacement and Split Decompositions for a Q-Polynomial Distance-regular Graph. - Paul M. Terwilliger (Graphs Comb., 2005)

Taut distance-regular graphs and the subconstituent algebra. - Mark S. MacLean; Paul M. Terwilliger (Discret. Math., 2006)

Almost-bipartite distance-regular graphs with the Q-polynomial property. - Michael S. Lang; Paul M. Terwilliger (Eur. J. Comb., 2007)

The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two. - Mark S. MacLean; Paul M. Terwilliger (Discret. Math., 2008)

Distance-regular graphs and the q-tetrahedron algebra. - Tatsuro Ito; Paul M. Terwilliger (Eur. J. Comb., 2009)

Distance-regular graphs with light tails. - Aleksandar Jurisic; Paul M. Terwilliger; Arjana Zitnik (Eur. J. Comb., 2010)

The Q-polynomial idempotents of a distance-regular graph. - Aleksandar Jurisic; Paul M. Terwilliger; Arjana Zitnik (J. Comb. Theory B, 2010)

Augmented down-up algebras and uniform posets. - Paul M. Terwilliger; Chalermpong Worawannotai (Ars Math. Contemp., 2013)

Distance-regular graphs of q-Racah type and the universal Askey-Wilson algebra. - Paul M. Terwilliger; Arjana Zitnik (J. Comb. Theory A, 2014)

Tridiagonal pairs of q-Racah type, the Bockting operator ψ, and L-operators for Uq(L(sl2)). - Paul M. Terwilliger (Ars Math. Contemp., 2018)

The quantum adjacency algebra and subconstituent algebra of a graph. - Paul M. Terwilliger; Arjana Zitnik (J. Comb. Theory A, 2019)

Notes on the Leonard System Classification. - Paul M. Terwilliger (Graphs Comb., 2021)

Connectivity concerning the last two subconstituents of a Q-polynomial distance-regular graph. - Sebastian M. Cioaba; Jack H. Koolen; Paul M. Terwilliger (J. Comb. Theory A, 2021)

Leonard pairs, spin models, and distance-regular graphs. - Kazumasa Nomura; Paul M. Terwilliger (J. Comb. Theory A, 2021)

The Norton algebra of a Q-polynomial distance-regular graph. - Paul M. Terwilliger (J. Comb. Theory A, 2021)

A compact presentation for the alternating central extension of the positive part of Uq(sl^2). - Paul M. Terwilliger (Ars Math. Contemp., 2022)

Using a q-shuffle algebra to describe the basic module V(Λ_0) for the quantized enveloping algebra Uq(sl^2). - Paul M. Terwilliger (Ars Math. Contemp., 2023)

Tridiagonal pairs, alternating elements, and distance-regular graphs. - Paul M. Terwilliger (J. Comb. Theory A, 2023)

A Q-Polynomial Structure Associated with the Projective Geometry LN(q). - Paul M. Terwilliger (Graphs Comb., 2023)

A Q-polynomial structure for the Attenuated Space poset Aq(N,M). - Paul M. Terwilliger (J. Comb. Theory, Ser. A, 2024)

Formal self-duality and numerical self-duality for symmetric association schemes. - Kazumasa Nomura; Paul M. Terwilliger (Discret. Math., 2025)

Projective geometries, Q-polynomial structures, and quantum groups. - Paul M. Terwilliger (Discret. Math., 2025)

Spin models and distance-regular graphs of q-Racah type. - Kazumasa Nomura; Paul M. Terwilliger (Eur. J. Comb., 2025)