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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 159–173
(Mi timm705)
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This article is cited in 2 scientific papers (total in 2 papers)
Classification of elements of small height in lattices of complete multipartite graphs
T. A. Senchonok, V. A. Baransky Ural State University
Abstract:
The purpose of the paper is to classify elements of height 2 and 3 in lattices $NPL(n,t)$ of complete multipartite graphs for $t\ge4$. In addition, lower floors of the lattices $NPL(n,t)$ are described and information on two chromatic invariants is specified. This information is used for studying the chromatic uniqueness of complete multipartite graphs.
Keywords:
integer partition, lattice, graph, complete multipartite graph, chromatic polynomial, chromatic uniqueness.
Received: 15.03.2011
Citation:
T. A. Senchonok, V. A. Baransky, “Classification of elements of small height in lattices of complete multipartite graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 159–173
Linking options:
https://www.mathnet.ru/eng/timm705 https://www.mathnet.ru/eng/timm/v17/i2/p159
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