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The total interval number of a graph

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Publication:1119605
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DOI10.1016/0095-8956(89)90003-8zbMath0672.05050OpenAlexW2078480613MaRDI QIDQ1119605

Martin Aigner, Thomas Andreae

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(89)90003-8


zbMATH Keywords

total interval numbertriangle-free outerplanar graph


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graph theory (05C99)


Related Items

Total interval numbers of complete \(r\)-partite graphs ⋮ On the unit interval number of a graph ⋮ The total interval number of a tree and the Hamiltonian completion number of its line graph ⋮ Local search algorithms for finding the Hamiltonian completion number of line graphs ⋮ Hydras: directed hypergraphs and Horn formulas ⋮ The total interval number of a graph. I: Fundamental classes



Cites Work

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  • The interval number of a planar graph: Three intervals suffice
  • On an extremal problem concerning the interval number of a graph
  • Extremal values of the interval number of a graph, II
  • Bounds of the number of disjoint spanning trees
  • Extremal Values of the Interval Number of a Graph
  • A Note on Sub-Eulerian Graphs
  • When the cartesian product of directed cycles is Hamiltonian
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