On the metric dimension of affine planes, biaffine planes and generalized quadrangles
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Publication:4622616
zbMath1410.51007arXiv1706.06583MaRDI QIDQ4622616
György Kiss, Tamás Héger, Daniele Bartoli, Marcella Takáts
Publication date: 13 February 2019
Full work available at URL: https://arxiv.org/abs/1706.06583
Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial structures in finite projective spaces (51E20) Desarguesian and Pappian geometries (51A30)
Related Items (6)
Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ Metric dimension of dual polar graphs ⋮ On the metric dimension of incidence graph of M\"obius planes ⋮ Resolving sets for higher dimensional projective spaces ⋮ Unnamed Item ⋮ On resolving sets in the point-line incidence graph of PG(n, q)
Cites Work
- Unnamed Item
- Blocking and double blocking sets in finite planes
- On the stability of small blocking sets
- Deletions, extensions, and reductions of elliptic semiplanes
- On the metric dimension of imprimitive distance-regular graphs
- Proof of a conjecture of Metsch
- Finite geometries.
- A stability theorem for lines in Galois planes of prime order
- Identifying codes in vertex-transitive graphs and strongly regular graphs
- Finite generalized quadrangles
- Biaffine planes and divisible semiplanes
- On minimal blocking sets
- Covering finite fields with cosets of subspaces
- Blocking sets
- The blocking number of an affine space
- Resolving sets and semi-resolving sets in finite projective planes
- The metric dimension of small distance-regular and strongly regular graphs
- Base size, metric dimension and other invariants of groups and graphs
- On the Metric Dimension of Cartesian Products of Graphs
- Blocking Sets in Desarguesian Projective Planes
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