A characterization of \(P_5\)-free, diameter-2-critical graphs

DOI10.1016/j.dam.2014.01.009zbMath1288.05069OpenAlexW2002734528MaRDI QIDQ2449064

Teresa W. Haynes, Michael A. Henning

Publication date: 6 May 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2014.01.009

zbMATH Keywords

diameter criticaldiameter-2-criticaltotal domination critical\(P_5\)-free

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (3)

Total domination edge critical graphs with total domination number three and many dominating pairs ⋮ Progress on the Murty-Simon conjecture on diameter-2 critical graphs: a survey ⋮ All My Favorite Conjectures Are Critical

Cites Work

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• A characterization of diameter-2-critical graphs with no antihole of length four
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• A proof of a conjecture on diameter 2-critical graphs whose complements are claw-free
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• On diameter 2-critical graphs
• On diameter critical graphs
• On a conjecture of Murty and Simon on diameter 2-critical graphs
• The maximum number of edges in a minimal graph of diameter 2
• On Critical Graphs of Diameter 2
• Minimum vertex‐diameter‐2‐critical graphs

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