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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 3, Pages 22–29 (Mi timm103)  
This article is cited in 4 scientific papers (total in 4 papers)

Chromatic uniqueness of atoms in lattices of complete multipartite graphs

V. A. Baranskii, T. A. Koroleva
Full-text PDF (253 kB) Citations (4)
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Abstract: A new approach is suggested to the study of the chromatic uniqueness of complete multipartite graphs. The approach is based on the natural lattice order introduced for such graphs. It is proved that atoms with nonelemental partite sets are chromatically unique in the lattice of complete $t$-partite $n$-graphs for any given positive integers $n$ and $t$.
Received: 28.09.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, Volume 261, Issue 1, Pages S15–S23
DOI: https://doi.org/10.1134/S008154808050027
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: V. A. Baranskii, T. A. Koroleva, “Chromatic uniqueness of atoms in lattices of complete multipartite graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 3, 2007, 22–29; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S15–S23
Citation in format AMSBIB
\Bibitem{BarKor07}
\by V.~A.~Baranskii, T.~A.~Koroleva
\paper Chromatic uniqueness of atoms in lattices of complete multipartite graphs
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 3
\pages 22--29
\mathnet{http://mi.mathnet.ru/timm103}
\elib{https://elibrary.ru/item.asp?id=12040783}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2008
\vol 261
\issue , suppl. 1
\pages S15--S23
\crossref{https://doi.org/10.1134/S008154808050027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149173402}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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