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Weakly toll convexity and proper interval graphs

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Publication:6606986
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DOI10.46298/dmtcs.9837zbMath1547.05062MaRDI QIDQ6606986

Mitre C. Dourado, Silvia B. Tondato, Marisa Gutierrez, Fábio Protti

Publication date: 17 September 2024

Published in: Discrete Mathematics and Theoretical Computer Science. DMTCS (Search for Journal in Brave)




zbMATH Keywords

convexityproper interval graphconvex geometryweakly toll walk


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) General convexity (52A99)


Cites Work

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  • On rigid circuit graphs
  • End vertices in interval graphs
  • Convex sets in graphs. II: Minimal path convexity
  • A characterisation of rigid circuit graphs
  • Convex geometries over induced paths with bounded length
  • Toll convexity
  • Incidence matrices and interval graphs
  • Steiner distance and convexity in graphs
  • The intersection graphs of subtrees in trees are exactly the chordal graphs
  • Geodesic Convexity in Graphs
  • Representation of a finite graph by a set of intervals on the real line
  • Convexity in Graphs and Hypergraphs
  • Convexity and HHD-Free Graphs
  • On extreme points of regular convex sets


Related Items (1)

Characterizations of graph classes via convex geometries: a survey





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