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Authors: | | R. L. Graham, D. E. Knuth, T. S. Motzkin |
Title: | | Complements and Transitive Closures |
Type: | | journal article |
English: | | http://www.sciencedirect.com/science/article/pii/0012365X7290057X | DOI: | | 10.1016/0012-365X(72)90057-X |
Journal: | | Discrete Mathematics |
Abbrev: | | Discrete Math. |
Year: | | 1972 |
Volume: | | 2 |
Pages: | | 17‑29 |
Publisher: | | Elsevier |
Location: | | Amsterdam, Netherlands |
MathSciNet: | | 0323577 |
ZBMATH: | | 0309.04002 |
OCLC: | | 4644907851 |
Refscore:Refscore is the percentage of references cited by this item that are listed on this website. | | 25 |
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Cited by: | | 2018 Shum AKar-Ping Shum, The 14 Set Problem and Its Related Topics, ResearchGate, 2018, 21 pp. |
| 2017 Schwiebert ARyan C. Schwiebert, The Radical-Annihilator Monoid of a Ring, Comm. Algebra, v. 45 no. 4, 2017, pp. 1601‑1617. |
| 2017 Shum AK-P. Shum, A Note on Kuratowski’s Theorem and Its Related Topics, Adv. Pure Math., v. 7, 2017, pp. 383‑406. |
| 2014 HM Qhengxin, mathematrucker, Applications of the Kuratowski Closure‑Complement Theorem, Mathematics Stack Exchange, 2014. |
| 2014 OR AEfe A. Ok, Gil Riella, Topological Closure of Translation Invariant Preorders, Math. Oper. Res., v. 39 no. 3, 2014, pp. 737‑745. |
| 2012 Cato ASusumu Cato, Complements and Consistent Closures, Discrete Math., v. 312, 2012, pp. 1218‑1221. |
| 2012 Harju STero Harju, Kuratowski Closure Results On Languages, 2012, 51 slides. |
| 2011 BGS AJanusz Brzozowski, Elyot Grant, Jeffrey Shallit, Closures in Formal Languages and Kuratowski’s Theorem, Intl. J. Found. Comp. Sci., v. 22, 2011, pp. 301‑321. |
| 2009 BGS‑b AJanusz Brzozowski, Elyot Grant, Jeffrey Shallit, Closures in Formal Languages and Kuratowski’s Theorem, Developments in Language Theory, 13th International Conference, DLT 2009, Lecture Notes in Computer Science, v. 5583, edited by V. Diekert, D. Nowotka, pp. 125‑144. |
| 2008 GJ AB. J. Gardner, Marcel Jackson, The Kuratowski Closure-Complement Theorem, New Zealand J. Math., v. 38, 2008, pp. 9‑44. |
| 2004 Farmer AFrank D. Farmer, Containment for c, s, t Operators on a Binary Relation, Algebra Universalis, v. 51, 2004, pp. 153‑175. |
| 2003 Weisstein BEric W. Weisstein, CRC Concise Encyclopedia of Mathematics, 2nd Edition, 2003, 3242 pp. |
| 2000 BW WMark Bowron, Eric W. Weisstein, Kuratowski’s Closure-Complement Problem, MathWorld — A Wolfram Web Resource, 2000. |
| 1999 Bowron QMark Bowron, New Kuratowski Closure-Complement (and Union) Results?, sci.math.research, 1999. |
| 1995 GO‑a AEmmanuelle Garel, Jean Pierre Olivier, On Closures Verifying that the Interior of a Closed Element is Closed, Comm. Algebra, v. 23, 1995, pp. 3715‑3728. |
| 1995 GO‑b AEmmanuelle Garel, Jean Pierre Olivier, The Opoid Generated by Transitive Closure and Interior and Symmetric Closure and Interior: A Characterization Using Generators and Relations, Rend. Sem. Mat. Univ. Poi. Torino, v. 53, 1995, pp. 71‑88. |
| 1993 GO AEmmanuelle Garel, Jean Pierre Olivier, About the Finiteness of Monoids Generated by Closures and Interiors, Semigroup Forum, v. 47, 1993, pp. 341‑352. |
| 1984 Peleg AD. Peleg, A Generalized Closure and Complement Phenomenon, Discrete Math., v. 50, 1984, pp. 285‑293. |
| 1978 Fishburn APeter C. Fishburn, Operations on Binary Relations, Discrete Math., v. 21, 1978, pp. 7‑22. |
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Cites: | | 1971 Langford AEric Langford, Characterization of Kuratowski 14‑Sets, Amer. Math. Monthly, v. 78 no. 4, 1971, pp. 362‑367. |
| 1922 Kuratowski AKazimierz Kuratowski, Sur l'Opération Ā de l'Analysis Situs (On the Topological Closure Operation), Fund. Math., v. 3, 1922, pp. 182‑199, in French. |
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