The Carathéodory number of the \(P_3\) convexity of chordal graphs
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Publication:2449132
DOI10.1016/j.dam.2014.03.004zbMath1288.05050OpenAlexW1978824404MaRDI QIDQ2449132
Dieter Rautenbach, Mitre C. Dourado, Erika M. M. Coelho, Jayme Luiz Szwarcfiter
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.2014.03.004
Planar graphs; geometric and topological aspects of graph theory (05C10) Graph algorithms (graph-theoretic aspects) (05C85)
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Cites Work
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- Irreversible conversion of graphs
- On geodetic sets formed by boundary vertices
- Complexity results related to monophonic convexity
- The hull number of a graph
- On local convexity in graphs
- Convex sets in graphs. II: Minimal path convexity
- On triangle path convexity in graphs
- On two-path convexity in multipartite tournaments
- Embedding tournaments in simple tournaments
- Some remarks on simple tournaments
- The All-Paths Transit Function of a Graph
- On the Hull Number of Triangle-Free Graphs
- Convexity in Graphs and Hypergraphs
- On the Carathéodory Number for the Convexity of Paths of Order Three