On the edge geodetic and edge geodetic domination numbers of a graph

DOI10.22049/cco.2019.26347.1099zbMath1449.05203OpenAlexW2963326728MaRDI QIDQ5212898

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Publication date: 30 January 2020

Full work available at URL: http://comb-opt.azaruniv.ac.ir/article_13946_a04e695bc31f9c7d591a19cbb7f8733e.pdf

zbMATH Keywords

domination number(edge) geodetic domination number(edge) geodetic number

Mathematics Subject Classification ID

Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Edge geodetic self-decomposition in graphs ⋮ Distinct edge geodetic decomposition in graphs

Cites Work

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• Some remarks on the geodetic number of a graph
• On the geodetic and geodetic domination numbers of a graph
• On graphs having domination number half their order
• The geodetic number of a graph
• Characterization of graphs with equal domination and covering number
• Dominating Cartesian products of cycles
• Comment on "Edge Geodetic Covers in Graphs
• The upper edge geodetic number and the forcing edge geodetic number of a graph
• Domination-balanced graphs
• Towards a theory of domination in graphs
• Common extremal graphs for three inequalities involving domination parameters
• Edge geodetic number of a graph

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