We show that the minimum set of unordered graphs that must be forbidden to get the same graph class characterized by forbidding a single ordered graph is infinite.
✦ LIBER ✦
A forbidden subgraph characterization of some graph classes using betweenness axioms
✍ Scribed by Changat, Manoj; Lakshmikuttyamma, Anandavally K.; Mathews, Joseph; Peterin, Iztok; Narasimha-Shenoi, Prasanth G.; Seethakuttyamma, Geetha; Špacapan, Simon
- Book ID
- 119947153
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 409 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
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We give a characterization of a hierarchy of graph classes with no long holes in which each class excludes some long antiholes. At one end of the hierarchy is the class of graphs with no long holes. At the other end is the class of weakly triangulated graphs. The characterization has the flavor of t