Université de Fribourg

Some properties of edge intersection graphs of single-bend paths on a grid

Asinowski, Andrei ; Ries, Bernard

In: Discrete Mathematics, 2012, vol. 312, no. 2, p. 427-440

In this paper we consider graphs G whose vertices can be represented as single-bend paths (i.e., paths with at most one turn) on a rectangular grid, such that two vertices are adjacent in G if and only if the corresponding paths share at least one edge of the grid. These graphs, called B1-EPG graphs, were first introduced in Golumbic et al. (2009) [13]. Here we show that the neighborhood of every...