Characterizing Graphs of Small Carving-Width

نویسندگان

  • Rémy Belmonte
  • Pim van 't Hof
  • Marcin Kaminski
  • Daniël Paulusma
  • Dimitrios M. Thilikos
چکیده

We characterize all graphs that have carving-width at most k for k = 1, 2, 3. In particular, we show that a graph has carving-width at most 3 if and only if it has maximum degree at most 3 and treewidth at most 2. This enables us to identify the immersion obstruction set for graphs of carving-width at most 3.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 161  شماره 

صفحات  -

تاریخ انتشار 2012