Geodesic
Chromatic uniqueness of elements of height $\leq3$ in lattices of complete multipartite graphs
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 3-18

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The purpose of the paper is to prove the following theorem. Let integers $n,t$, and $h$ be such that $0$ 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.
Mots-clés : integer partition, complete multipartite graph
Keywords: lattice, graph, chromatic polynomial, chromatic uniqueness. 
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     title = {Chromatic uniqueness of elements of height $\leq3$ in lattices of complete multipartite graphs},
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V. A. Baranskii; T. A. Sen'chonok. Chromatic uniqueness of elements of height $\leq3$ in lattices of complete multipartite graphs. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 3-18. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a0/