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Two-step graphs of trees

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Publication:688263
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DOI10.1016/0012-365X(93)90122-AzbMath0790.05023WikidataQ127097238 ScholiaQ127097238MaRDI QIDQ688263

Craig W. Rasmussen, J. Richard Lundgren

Publication date: 9 June 1994

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


zbMATH Keywords

treesinterval graphcompetition graphstwo-step graph


Mathematics Subject Classification ID

Trees (05C05) Structural characterization of families of graphs (05C75) Graph theory (05C99)


Related Items (8)

Graph equation for line graphs and \(m\)-step graphs ⋮ Injective coloring of graphs revisited ⋮ Structural properties and hamiltonicity of neighborhood graphs ⋮ A class of acyclic digraphs with interval competition graphs ⋮ Connected triangle-free \(m\)-step competition graphs ⋮ A characterization of graphs with interval two-step graphs ⋮ Chromatic numbers of competition graphs ⋮ The \(m\)-step competition graph of a digraph



Cites Work

  • Interval competition graphs of symmetric digraphs
  • Inverting graphs of rectangular matrices
  • A characterization of competition graphs
  • Representation of a finite graph by a set of intervals on the real line
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