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dc.contributor.authorKoch, Sebastian-
dc.date.accessioned2020-04-16T11:53:49Z-
dc.date.available2020-04-16T11:53:49Z-
dc.date.issued2019-
dc.identifier.citationFormalized Mathematics, Volume 27, Issue 3, Pages 237–259pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/9014-
dc.description.abstractIn 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.isoenpl
dc.publisherDeGruyter Openpl
dc.rightsUznanie autorstwa-Na tych samych warunkach 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-sa/3.0/pl/*
dc.subjectgraph operationspl
dc.subjectunderlying simple graphpl
dc.titleUnderlying Simple Graphspl
dc.typeArticlepl
dc.identifier.doi10.2478/forma-2019-0023-
dc.description.Emailskoch02@students.uni-mainz.depl
dc.description.AffiliationJohannes Gutenberg University, Mainz, Germanypl
dc.description.referencesGrzegorz Bancerek. Introduction to trees. Formalized Mathematics, 1(2):421–427, 1990.pl
dc.description.referencesGrzegorz 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.referencesLowell W. Beineke and Robin J. Wilson, editors. Selected Topics in Graph Theory. Academic Press, London, 1978. ISBN 0-12-086250-6.pl
dc.description.referencesJohn 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.referencesAdam 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.referencesKrzysztof Hryniewiecki. Graphs. Formalized Mathematics, 2(3):365–370, 1991.pl
dc.description.referencesGilbert Lee. Weighted and labeled graphs. Formalized Mathematics, 13(2):279–293, 2005.pl
dc.description.referencesGilbert Lee and Piotr Rudnicki. Alternative graph structures. Formalized Mathematics, 13(2):235–252, 2005.pl
dc.description.referencesPiotr 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.referencesYozo Toda. The formalization of simple graphs. Formalized Mathematics, 5(1):137–144, 1996.pl
dc.description.referencesKlaus Wagner. Graphentheorie. B.I-Hochschultaschenbücher; 248. Bibliograph. Inst., Mannheim, 1970. ISBN 3-411-00248-4.pl
dc.description.referencesRobin James Wilson. Introduction to Graph Theory. Oliver & Boyd, Edinburgh, 1972. ISBN 0-05-002534-1.pl
dc.identifier.eissn1898-9934-
dc.description.volume27-
dc.description.issue3-
dc.description.firstpage237pl
dc.description.lastpage259pl
dc.identifier.citation2Formalized Mathematicspl
dc.identifier.orcid0000-0002-9628-177X-
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