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http://hdl.handle.net/11320/9014
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Pole DC | Wartość | Język |
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dc.contributor.author | Koch, Sebastian | - |
dc.date.accessioned | 2020-04-16T11:53:49Z | - |
dc.date.available | 2020-04-16T11:53:49Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Formalized Mathematics, Volume 27, Issue 3, Pages 237–259 | pl |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.uri | http://hdl.handle.net/11320/9014 | - |
dc.description.abstract | In this article the notion of the underlying simple graph of a graph (as defined in [8]) is formalized in the Mizar system [5], along with some convenient variants. The property of a graph to be without decorators (as introduced in [7]) is formalized as well to serve as the base of graph enumerations in the future. | pl |
dc.language.iso | en | pl |
dc.publisher | DeGruyter Open | pl |
dc.rights | Uznanie autorstwa-Na tych samych warunkach 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/3.0/pl/ | * |
dc.subject | graph operations | pl |
dc.subject | underlying simple graph | pl |
dc.title | Underlying Simple Graphs | pl |
dc.type | Article | pl |
dc.identifier.doi | 10.2478/forma-2019-0023 | - |
dc.description.Email | skoch02@students.uni-mainz.de | pl |
dc.description.Affiliation | Johannes Gutenberg University, Mainz, Germany | pl |
dc.description.references | Grzegorz Bancerek. Introduction to trees. Formalized Mathematics, 1(2):421–427, 1990. | pl |
dc.description.references | Grzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pak. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6. | pl |
dc.description.references | Lowell W. Beineke and Robin J. Wilson, editors. Selected Topics in Graph Theory. Academic Press, London, 1978. ISBN 0-12-086250-6. | pl |
dc.description.references | John Adrian Bondy and U. S. R. Murty. Graph Theory. Graduate Texts in Mathematics, 244. Springer, New York, 2008. ISBN 978-1-84628-969-9. | pl |
dc.description.references | Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1. | pl |
dc.description.references | Krzysztof Hryniewiecki. Graphs. Formalized Mathematics, 2(3):365–370, 1991. | pl |
dc.description.references | Gilbert Lee. Weighted and labeled graphs. Formalized Mathematics, 13(2):279–293, 2005. | pl |
dc.description.references | Gilbert Lee and Piotr Rudnicki. Alternative graph structures. Formalized Mathematics, 13(2):235–252, 2005. | pl |
dc.description.references | Piotr Rudnicki and Lorna Stewart. Simple graphs as simplicial complexes: the Mycielskian of a graph. Formalized Mathematics, 20(2):161–174, 2012. doi:10.2478/v10037-012-0019-8. | pl |
dc.description.references | Yozo Toda. The formalization of simple graphs. Formalized Mathematics, 5(1):137–144, 1996. | pl |
dc.description.references | Klaus Wagner. Graphentheorie. B.I-Hochschultaschenbücher; 248. Bibliograph. Inst., Mannheim, 1970. ISBN 3-411-00248-4. | pl |
dc.description.references | Robin James Wilson. Introduction to Graph Theory. Oliver & Boyd, Edinburgh, 1972. ISBN 0-05-002534-1. | pl |
dc.identifier.eissn | 1898-9934 | - |
dc.description.volume | 27 | - |
dc.description.issue | 3 | - |
dc.description.firstpage | 237 | pl |
dc.description.lastpage | 259 | pl |
dc.identifier.citation2 | Formalized Mathematics | pl |
dc.identifier.orcid | 0000-0002-9628-177X | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2019, Volume 27, Issue 3 |
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forma_2019_27_3_0023.pdf | 304,23 kB | Adobe PDF | Otwórz |
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