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On the Determining Number and the Metric Dimension of Graphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jgt.20368openalex-snapshot
The determining number of a Cartesian product
inferredcites →https://doi.org/10.1016/0166-218x(95)00106-2openalex-snapshot
Landmarks in graphs
inferredcites →https://doi.org/10.1016/j.disc.2006.06.004openalex-snapshot
Destroying automorphisms by fixing nodes
inferredcites →https://doi.org/10.1016/j.endm.2007.07.058openalex-snapshot
Extremal Graph Theory for Metric Dimension and Diameter
inferredcites →https://doi.org/10.1016/s0166-218x(00)00198-0openalex-snapshot
Resolvability in graphs and the metric dimension of a graph
inferredcites →https://doi.org/10.1080/00029890.1963.11992174openalex-snapshot
A Combinatory Detection Problem
inferredcites →https://doi.org/10.1137/050641867openalex-snapshot
On the Metric Dimension of Cartesian Products of Graphs
inferredcites →https://doi.org/10.1142/9789811273117_0001openalex-snapshot
Introduction to Graph Theory
inferredcites →https://doi.org/10.1201/b12336-12openalex-snapshot
Introduction to Graph Theory
inferredcites →https://doi.org/10.1515/crll.1869.70.185openalex-snapshot
Sur les assemblages de lignes.
inferredcites →https://doi.org/10.37236/1104openalex-snapshot
Identifying Graph Automorphisms Using Determining Sets
inferredcites →https://doi.org/10.37236/1242openalex-snapshot
Symmetry Breaking in Graphs
inferredcites →https://doi.org/10.37236/128openalex-snapshot
Fixing Numbers of Graphs and Groups
inferredcites →https://doi.org/10.37236/302openalex-snapshot
Extremal Graph Theory for Metric Dimension and Diameter
inferredcites →https://doi.org/10.37236/938openalex-snapshot
Using Determining Sets to Distinguish Kneser Graphs
inferredcites →https://doi.org/10.5860/choice.42-1619aopenalex-snapshot
Spanning trees and optimization problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/wics.180openalex-snapshot
Network topology measures
inferred← citeshttps://doi.org/10.1007/978-3-030-51117-3_8openalex-snapshot
Locating-Domination and Identification
inferred← citeshttps://doi.org/10.1007/s00373-021-02300-1openalex-snapshot
Graphs of Order n with Determining Number $$n{-}3$$
inferred← citeshttps://doi.org/10.1007/s10114-017-4699-4openalex-snapshot
A comparison between the metric dimension and zero forcing number of trees and unicyclic graphs
inferred← citeshttps://doi.org/10.1007/s10878-015-9928-0openalex-snapshot
On consecutive edge magic total labelings of connected bipartite graphs
inferred← citeshttps://doi.org/10.1007/s13226-023-00421-2openalex-snapshot
On automorphisms and fixing number of co-normal product of graphs
inferred← citeshttps://doi.org/10.1016/j.amc.2012.12.004openalex-snapshot
Mathematical tools for the future: Graph Theory and graphicable algebras
inferred← citeshttps://doi.org/10.1016/j.amc.2014.10.034openalex-snapshot
The difference between the metric dimension and the determining number of a graph
inferred← citeshttps://doi.org/10.1016/j.dam.2011.12.009openalex-snapshot
On the metric dimension of infinite graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2022.02.014openalex-snapshot
On the robustness of the metric dimension of grid graphs to adding a single edge
inferred← citeshttps://doi.org/10.1016/j.dam.2023.01.024openalex-snapshot
The difference between several metric dimension graph invariants
inferred← citeshttps://doi.org/10.1016/j.disc.2011.12.023openalex-snapshot
Split digraphs
inferred← citeshttps://doi.org/10.1016/j.disc.2012.09.023openalex-snapshot
Metric dimension of symplectic dual polar graphs and symmetric bilinear forms graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2012.10.008openalex-snapshot
Resolving sets for Johnson and Kneser graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2015.02.029openalex-snapshot
On the limiting distribution of the metric dimension for random forests
inferred← citeshttps://doi.org/10.1016/j.ejc.2021.103317openalex-snapshot
Metric dimension of critical Galton–Watson trees and linear preferential attachment trees
inferred← citeshttps://doi.org/10.1016/s0252-9602(12)60204-5openalex-snapshot
On classes of regular graphs with constant metric dimension
inferred← citeshttps://doi.org/10.1080/03081087.2025.2558597openalex-snapshot
Automorphism group and related parameters of nonzero component union graph over a vector space
inferred← citeshttps://doi.org/10.1088/1742-6596/855/1/012037openalex-snapshot
Super (a, d)-Cycle-Antimagic Total Labeling on Triangular Ladder Graph and Generalized Jahangir Graph
inferred← citeshttps://doi.org/10.1137/21m1409512openalex-snapshot
Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications
inferred← citeshttps://doi.org/10.1142/s0219498821500018openalex-snapshot
Planarity and fixing number of inclusion graph of a nilpotent group
inferred← citeshttps://doi.org/10.1142/s1793042117501305openalex-snapshot
On some lacunary sums of even powers of binomial coefficients
inferred← citeshttps://doi.org/10.1142/s179383092550096xopenalex-snapshot
Metric dimension: A review article
inferred← citeshttps://doi.org/10.1214/12-ssy076openalex-snapshot
Directed random graphs with given degree distributions
inferred← citeshttps://doi.org/10.3390/math7111111openalex-snapshot
Removing Twins in Graphs to Break Symmetries
inferred← citeshttps://doi.org/10.36456/wahana.v67i2.500openalex-snapshot
DIMENSI METRIK PADA GRAF TURAN
inferred← citeshttps://doi.org/10.37236/2639openalex-snapshot
Metric Dimension for Random Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1111.3252openalex-snapshot
Hypergraphs for computing determining sets of Kneser graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1208.3801openalex-snapshot
Metric dimension for random graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1401.3686openalex-snapshot
Resolving sets for breaking symmetries of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1411.4922openalex-snapshot
On some automorphism related parameters in graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1507.02053openalex-snapshot
On fixing sets of composition and corona product of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1610.09232openalex-snapshot
On the Fractional fixing number of graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1705.08681openalex-snapshot
On The Fixatic Number of Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1804.09701openalex-snapshot
Automorphism related parameters of a graph associated to a finite vector space
inferred← citeshttps://doi.org/10.5555/2431518.2431916openalex-snapshot
Directed 3-cycle anchored digraphs and their application in the uniform sampling of realizations from a fixed degree sequence
inferred← citeshttps://doi.org/10.5614/ejgta.2024.12.1.6openalex-snapshot
Edge-locating coloring of graphs
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