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On the metric dimension of affine planes, biaffine planes and generalized quadrangles
[article]

2017
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arXiv
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pre-print

In this paper the metric dimension of (the incidence graphs of) particular partial linear spaces is considered. We prove that the metric dimension of an affine plane of order q≥13 is 3q-4 and describe all resolving sets of that size if q≥ 23. The metric dimension of a biaffine plane (also called a flag-type elliptic semiplane) of order q≥ 4 is shown to fall between 2q-2 and 3q-6, while for Desarguesian biaffine planes the lower bound is improved to 8q/3-7 under q≥ 7, and to 3q-9√(q) under

arXiv:1706.06583v1
fatcat:u76t3oen5ffpjdhqtayovhydme