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Discussiones Mathematicae Graph Theory 33(2) (2013)
467-470
DOI: https://doi.org/10.7151/dmgt.1682
The Path-distance-width of Hypercubes
Yota Otachi
School of Information Science |
Abstract
The path-distance-width of a connected graph G is the minimum integer w satisfying that there is a nonempty subset of S ⊆ V(G) such that the number of the vertices with distance i from S is at most w for any nonnegative integer i.In this note, we determine the path-distance-width of hypercubes.
Keywords: path-distance-width, hypercube
2010 Mathematics Subject Classification: 05C12, 05C76.
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Received 26 September 2011
Revised 25 April 2012
Accepted 5 July 2012
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