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An upper bound for the crossing number of bubble-sort graph B-n

Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2016-11-01

Journal: UTILITAS MATHEMATICA

Included Journals: SCIE

Volume: 101

Page Number: 309-328

ISSN: 0315-3681

Key Words: Crossing number; Drawing; Bubble-sort graph

Abstract: The crossing number of a graph G is the minimum number of pairwise intersections of edges in a drawing of G. Motivated by the recent work [Faria, L., Figueiredo, C.M.H. de, Sykora, O., Vrt'o, I.: An improved upper bound on the crossing number of the hypercube. J. Graph Theory 59, 145-161 (2008)], we give an upper bound of the crossing number of n-dimensional bubble-sort graph B-n.

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