Cellular Lines: An Introduction
This paper provides a definition of a cellular line in a cellular array that is independent of the notion of a line in $\mathfrak{R}^2$.It also presents a way of determining whether or not a cell set is a cellular line.Brief statements about existence, uniqueness, and properties of cellular lines ar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2003-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/2306/pdf |
| _version_ | 1797270601115631616 |
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| author | Panama Geer Harry W. McLaughlin Keith Unsworth |
| author_facet | Panama Geer Harry W. McLaughlin Keith Unsworth |
| author_sort | Panama Geer |
| collection | DOAJ |
| description | This paper provides a definition of a cellular line in a cellular array that is independent of the notion of a line in $\mathfrak{R}^2$.It also presents a way of determining whether or not a cell set is a cellular line.Brief statements about existence, uniqueness, and properties of cellular lines are included. |
| first_indexed | 2024-04-25T02:06:51Z |
| format | Article |
| id | doaj.art-0e7b692e0a564497bbd6843839d0da5a |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:06:51Z |
| publishDate | 2003-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-0e7b692e0a564497bbd6843839d0da5a2024-03-07T14:28:31ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502003-01-01DMTCS Proceedings vol. AB,...Proceedings10.46298/dmtcs.23062306Cellular Lines: An IntroductionPanama Geer0Harry W. McLaughlinKeith Unsworth1Bryn Mawr CollegeLincoln University, New ZealandThis paper provides a definition of a cellular line in a cellular array that is independent of the notion of a line in $\mathfrak{R}^2$.It also presents a way of determining whether or not a cell set is a cellular line.Brief statements about existence, uniqueness, and properties of cellular lines are included.https://dmtcs.episciences.org/2306/pdfline drawing algorithmderived stringcellular line definitioncellular arraystring representation[info.info-dm] computer science [cs]/discrete mathematics [cs.dm][math.math-co] mathematics [math]/combinatorics [math.co][nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg] |
| spellingShingle | Panama Geer Harry W. McLaughlin Keith Unsworth Cellular Lines: An Introduction Discrete Mathematics & Theoretical Computer Science line drawing algorithm derived string cellular line definition cellular array string representation [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg] |
| title | Cellular Lines: An Introduction |
| title_full | Cellular Lines: An Introduction |
| title_fullStr | Cellular Lines: An Introduction |
| title_full_unstemmed | Cellular Lines: An Introduction |
| title_short | Cellular Lines: An Introduction |
| title_sort | cellular lines an introduction |
| topic | line drawing algorithm derived string cellular line definition cellular array string representation [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [nlin.nlin-cg] nonlinear sciences [physics]/cellular automata and lattice gases [nlin.cg] |
| url | https://dmtcs.episciences.org/2306/pdf |
| work_keys_str_mv | AT panamageer cellularlinesanintroduction AT harrywmclaughlin cellularlinesanintroduction AT keithunsworth cellularlinesanintroduction |