Resolving sets for higher dimensional projective spaces

DOI10.1016/j.ffa.2020.101723zbMath1464.51008OpenAlexW3046141504MaRDI QIDQ1994933

Daniele Bartoli, Fernanda Pambianco, Stefano Marcugini, György Kiss

Publication date: 18 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/126409/1/PH-resolving_FFAsubmitted.pdf

zbMATH Keywords

finite projective spacesresolving setspoint-hyperplane incidence graph

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Distance in graphs (05C12) Combinatorial structures in finite projective spaces (51E20)

Related Items (8)

On cutting blocking sets and their codes ⋮ Small Strong Blocking Sets by Concatenation ⋮ Higgledy-piggledy sets in projective spaces of small dimension ⋮ A higgledy-piggledy set of planes based on the ABB-representation of linear sets ⋮ Metric dimension of dual polar graphs ⋮ On the metric dimension of incidence graph of M\"obius planes ⋮ Unnamed Item ⋮ On resolving sets in the point-line incidence graph of PG(n, q)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lines in higgledy-piggledy arrangement
• Search problems in vector spaces
• The Magma algebra system. I: The user language
• Resolving sets and semi-resolving sets in finite projective planes
• Extremal graph theory for metric dimension and diameter
• Base size, metric dimension and other invariants of groups and graphs
• Algebraic Function Fields and Codes
• On the metric dimension of affine planes, biaffine planes and generalized quadrangles

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