Author
Takayuki Tamura
Other affiliations: University of California, Berkeley
Bio: Takayuki Tamura is an academic researcher from University of California, Davis. The author has contributed to research in topics: Semigroup & Commutative property. The author has an hindex of 11, co-authored 46 publications receiving 448 citations. Previous affiliations of Takayuki Tamura include University of California, Berkeley.
Papers
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84 citations
37 citations
31 citations
28 citations
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TL;DR: In this article, the concept of a partial geometry is introduced, which serves to unify and generalize certain theorems on embedding of nets, and uniqueness of association schemes of partially balanced designs, by Bruck, Connor, Shrikhande and others.
Abstract: This paper introduced the concept of a partial geometry, which serves to unify and generalize certain theorems on embedding of nets, and uniqueness of association schemes of partially balanced designs, by Bruck, Connor, Shrikhande and others. Certain lemmas and theorems are direct generalizations of those proved by Bruck ;-57, for the case of nets, which are a special class of partial geometries.
502 citations
481 citations
TL;DR: This paper proposes a new method of using Cayley graphs for classification of data using the endomorphism monoids of graphs, a convenient tools expressing asymmetries of the graphs.
184 citations
TL;DR: A complete description of the lattice of equational classes of idempotent semigroups with one unary operation was given in this article, which is the only nontrivial lattice to be completely described.
165 citations