English
A graph G is a Bo- VPG graph if it is the vertex intersection graph of horizontal and vertical paths on a grid. A graph G is a contact Bo- VPG graph if the vertices can be represented by interiorly disjoint horizontal or vertical paths on a grid and two vertices are adjacent if and only if the corresponding paths touch. In this paper, we present a minimal forbidden induced subgraph characterisation of contact Bo-VPG graphs within the class of chordal graphs and provide a polynomial-time algorithm for recognising these graphs.
Faculty
Faculté des sciences économiques et sociales et du management