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Characterizations of k-cutwidth critical trees

Zhen-Kun Zhang () and Hong-Jian Lai ()
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Zhen-Kun Zhang: Huanghuai University
Hong-Jian Lai: West Virginia University

Journal of Combinatorial Optimization, 2017, vol. 34, issue 1, No 16, 233-244

Abstract: Abstract The cutwidth problem for a graph G is to embed G into a path such that the maximum number of overlap edges (i.e., the congestion) is minimized. The investigations of critical graphs and their structures are meaningful in the study of a graph-theoretic parameters. We study the structures of k-cutwidth $$(k>1)$$ ( k > 1 ) critical trees, and use them to characterize the set of all 4-cutwidth critical trees.

Keywords: Graph labeling; Cutwidth; Critical tree (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10878-016-0061-5

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