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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 3–18 (Mi timm745)  
This article is cited in 5 scientific papers (total in 5 papers)

Chromatic uniqueness of elements of height $\leq3$ in lattices of complete multipartite graphs

V. A. Baranskii, T. A. Sen'chonok

Ural Federal University
Full-text PDF (247 kB) Citations (5)
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Abstract: The purpose of the paper is to prove the following theorem. Let integers $n,t$, and $h$ be such that $0<t<n$ and $h\leq3$. Then, any complete $t$-partite graph with nontrivial parts that has height $h$ in the lattice $NPL(n,t)$ is chromatically unique.
Keywords: integer partition, lattice, graph, complete multipartite graph, chromatic polynomial, chromatic uniqueness.
Received: 06.05.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 279, Issue 1, Pages 1–16
DOI: https://doi.org/10.1134/S0081543812090015
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: V. A. Baranskii, T. A. Sen'chonok, “Chromatic uniqueness of elements of height $\leq3$ in lattices of complete multipartite graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 3–18; Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 1–16
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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