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Andrei V. Kelarev
Researcher at RMIT University
Publications - 219
Citations - 3733
Andrei V. Kelarev is an academic researcher from RMIT University. The author has contributed to research in topics: Semigroup & Mathematical sciences. The author has an hindex of 27, co-authored 212 publications receiving 3303 citations. Previous affiliations of Andrei V. Kelarev include Ural State University & University of Melbourne.
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Book
Graph algebras and automata
TL;DR: This work defines graph algebras and reveals their applicability to automata theory and explores assorted monoids, semigroups, rings, codes, and other algebraic structures to outline theorems and algorithms for finite state automata and grammars.
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Directed Graphs and Combinatorial Properties of Semigroups
Andrei V. Kelarev,Stephen Quinn +1 more
TL;DR: In this paper, a complete description of all commutative semigroups satisfying three other combinatorial properties defined in terms of directed graphs is given, by a graph we mean a directed graph without loops or multiple edges.
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Power graphs: A survey
TL;DR: This article gives a survey of all results on the power graphs of groups and semigroups obtained in the literature.
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Cayley graphs as classifiers for data mining: The influence of asymmetries
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.