Geodesic
Classification of elements of small height in lattices of complete multipartite graphs
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 159-173

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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.
Mots-clés : integer partition, complete multipartite graph
Keywords: lattice, graph, chromatic polynomial, chromatic uniqueness. 
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     author = {T. A. Senchonok and V. A. Baransky},
     title = {Classification of elements of small height in lattices of complete multipartite graphs},
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T. A. Senchonok; V. A. Baransky. Classification of elements of small height in lattices of complete multipartite graphs. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 159-173. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a14/