Measuring Closeness Between Cayley Automatic Groups and Automatic Groups

© Springer International Publishing AG, part of Springer Nature 2018. In this paper we introduce a way to estimate a level of closeness of Cayley automatic groups to the class of automatic groups using a certain numerical characteristic. We characterize Cayley automatic groups which are not automati...

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Main Authors: Dmitry Berdinsky, Phongpitak Trakuldit
Other Authors: Mahidol University
Format: Conference or Workshop Item
Published: 2019
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/45678
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spelling th-mahidol.456782019-08-23T18:31:22Z Measuring Closeness Between Cayley Automatic Groups and Automatic Groups Dmitry Berdinsky Phongpitak Trakuldit Mahidol University Commission on Higher Education Computer Science Mathematics © Springer International Publishing AG, part of Springer Nature 2018. In this paper we introduce a way to estimate a level of closeness of Cayley automatic groups to the class of automatic groups using a certain numerical characteristic. We characterize Cayley automatic groups which are not automatic in terms of this numerical characteristic and then study it for the lamplighter group, the Baumslag–Solitar groups and the Heisenberg group. 2019-08-23T10:58:57Z 2019-08-23T10:58:57Z 2018-01-01 Conference Paper Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.10792 LNCS, (2018), 245-257 10.1007/978-3-319-77313-1_19 16113349 03029743 2-s2.0-85045342054 https://repository.li.mahidol.ac.th/handle/123456789/45678 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045342054&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
Dmitry Berdinsky
Phongpitak Trakuldit
Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
description © Springer International Publishing AG, part of Springer Nature 2018. In this paper we introduce a way to estimate a level of closeness of Cayley automatic groups to the class of automatic groups using a certain numerical characteristic. We characterize Cayley automatic groups which are not automatic in terms of this numerical characteristic and then study it for the lamplighter group, the Baumslag–Solitar groups and the Heisenberg group.
author2 Mahidol University
author_facet Mahidol University
Dmitry Berdinsky
Phongpitak Trakuldit
format Conference or Workshop Item
author Dmitry Berdinsky
Phongpitak Trakuldit
author_sort Dmitry Berdinsky
title Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
title_short Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
title_full Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
title_fullStr Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
title_full_unstemmed Measuring Closeness Between Cayley Automatic Groups and Automatic Groups
title_sort measuring closeness between cayley automatic groups and automatic groups
publishDate 2019
url https://repository.li.mahidol.ac.th/handle/123456789/45678
_version_ 1763491809960394752