In: Lecture Notes in Computer Science, 2018, vol. 10856, p. 89-100
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...
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In: Discrete applied mathematics, 2018, vol. 234, p. 12-21
Golumbic, Lipshteyn and Stern [12] proved that every graph can be represented as the edge intersection graph of paths on a grid (EPG graph), i.e., one can associate with each vertex of the graph a nontrivial path on a rectangular grid such that two vertices are adjacent if and only if the corresponding paths share at least one edge of the grid. For a nonnegative integer k, Bk-EPG graphs are...
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