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Distance-regular graphs
This is a survey of distance-regular graphs. We present an introduction to distance-regular
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …
[HTML][HTML] On the number of irreducible modular representations of a P and Q polynomial scheme
O Shimabukuro - European Journal of Combinatorics, 2007 - Elsevier
Whereas results about the number of irreducible modular representations of finite groups
are known, those of Bose–Mesner algebras of association schemes are not well understood …
are known, those of Bose–Mesner algebras of association schemes are not well understood …
[HTML][HTML] On structures of modular adjacency algebras of Johnson schemes
O Shimabukuro - Discrete Mathematics, 2011 - Elsevier
In this paper, we consider algebras over a field of characteristic p, which are generated by
adjacency algebras of Johnson schemes. If the algebra is semisimple, the structure is the …
adjacency algebras of Johnson schemes. If the algebra is semisimple, the structure is the …
Representations of p′-valenced Schurian schemes
A Hanaki, Y Hieda - SUT Journal of Mathematics, 2008 - projecteuclid.org
Let p be a prime number. We consider representations of p′-valenced Schurian schemes
over a field of characteristic p, especially the case that the cardinality of the underlying set …
over a field of characteristic p, especially the case that the cardinality of the underlying set …
[PDF][PDF] Multinomial Coefficients and the Johnson Scheme
島袋修， シマブクロオサム - SUT Journal of Mathematics, 2007 - tus.repo.nii.ac.jp
The Johnson scheme is one of the most famous association schemes. The structure is
based on binomial coefficients. On the other hand, the generalized Johnson scheme (q …
based on binomial coefficients. On the other hand, the generalized Johnson scheme (q …
Multinomial Coefficients and the Johnson Scheme
O Shimabukuro - SUT Journal of Mathematics, 2007 - projecteuclid.org
The Johnson scheme is one of the most famous association schemes. The structure is
based on binomial coefficients. On the other hand, the generalized Johnson scheme (q …
based on binomial coefficients. On the other hand, the generalized Johnson scheme (q …
純粋数学としての組合せ論——代数的組合せ論のめざすもの——
坂内英一 - 数学, 2010 - jstage.jst.go.jp
論 説 純粋数学としての組合せ論 坂 内 英 一 Page 1 433 論 説 純粋数学としての組合せ論 ---代数
的組合せ論のめざすもの--- 坂 内 英 一 ∗) 雑誌 ‘数学’ に,‘代数的組合せ論’,‘代数的組合せ論---アソシエーション …
的組合せ論のめざすもの--- 坂 内 英 一 ∗) 雑誌 ‘数学’ に,‘代数的組合せ論’,‘代数的組合せ論---アソシエーション …
[CITAS][C] COMBINATORICS AS PURE MATHEMATICS—AIMS OF ALGEBRAIC COMBINATORICS—
E BANNAI - 2008