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dc.contributor.authorKoch, Sebastian-
dc.date.accessioned2020-06-10T09:14:47Z-
dc.date.available2020-06-10T09:14:47Z-
dc.date.issued2020-
dc.identifier.citationFormalized Mathematics, Volume 28, Issue 1, Pages 23-39pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/9221-
dc.description.abstractThis article contains many auxiliary theorems which were missing in the Mizar Mathematical Library [2] to the best of the author’s knowledge. Most of them regard graph theory as formalized in the GLIB series (cf. [8]) and most of them are preliminaries needed in [7] or other forthcoming articles.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 theorypl
dc.subjectvertex degreespl
dc.titleMiscellaneous Graph Preliminariespl
dc.typeArticlepl
dc.identifier.doi10.2478/forma-2020-0003-
dc.description.Emailskoch02@students.uni-mainz.depl
dc.description.AffiliationJohannes Gutenberg University, Mainz, Germanypl
dc.description.referencesGrzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pak, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.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.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.referencesPavol Hell and Jaroslav Nesetril. Graphs and homomorphisms. Oxford Lecture Series in Mathematics and Its Applications; 28. Oxford University Press, Oxford, 2004. ISBN 0-19-852817-5.pl
dc.description.referencesUlrich Knauer. Algebraic graph theory: morphisms, monoids and matrices, volume 41 of De Gruyter Studies in Mathematics. Walter de Gruyter, 2011.pl
dc.description.referencesSebastian Koch. About graph mappings. Formalized Mathematics, 27(3):261–301, 2019. doi:10.2478/forma-2019-0024.pl
dc.description.referencesSebastian Koch. About graph complements. Formalized Mathematics, 28(1):41–63, 2020. doi:10.2478/forma-2020-0004.pl
dc.description.referencesGilbert Lee and Piotr Rudnicki. Alternative graph structures. Formalized Mathematics, 13(2):235–252, 2005.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.firstpage23pl
dc.description.lastpage39pl
dc.identifier.citation2Formalized Mathematicspl
dc.identifier.orcid0000-0002-9628-177X-
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