4 papers
The (theta, wheel)-free graphs Part IV: induced paths and cycles
Marko Radovanović, Nicolas Trotignon, Kristina Vušković
A hole in a graph is a chordless cycle of length at least 4. A theta is a graph formed by three internally vertex-disjoint paths of length at least 2 between the same pair of disti…
The (theta, wheel)-free graphs Part III: cliques, stable sets and coloring
Marko Radovanović, Nicolas Trotignon, Kristina Vušković
A hole in a graph is a chordless cycle of length at least 4. A theta is a graph formed by three paths between the same pair of distinct vertices so that the union of any two of the…
The (theta, wheel)-free graphs Part II: structure theorem
Marko Radovanović, Nicolas Trotignon, Kristina Vušković
A theta is a graph formed by three paths between the same pair of distinct vertices so that the union of any two of the paths induces a hole. A wheel is a graph formed by a hole an…
On rank-width of even-hole-free graphs
Isolde Adler, Ngoc Khang Le, Haiko Müller +3
We present a class of (diamond, even hole)-free graphs with no clique cutset that has unbounded rank-width. In general, even-hole-free graphs have unbounded rank-width, because cho…