The general position problem and strong resolving graphs

The general position number gp(G) of a connected graph G is the cardinality of a largest set S of vertices such that no three pairwise distinct vertices from S lie on a common geodesic. It is proved that gp(G) ≥ ω(GSR), where GSR is the strong resolving graph of G, and ω(GSR) is its clique number. T...

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Bibliographic Details
Main Authors: Klavžar Sandi, Yero Ismael G.
Format: Article
Language:English
Published: De Gruyter 2019-10-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0088/math-2019-0088.xml?format=INT