Edge intersection graphs of systems of paths on a grid with a bounded number of bends
نویسندگان
چکیده
منابع مشابه
Edge intersection graphs of systems of grid paths with bounded number of bends
We answer some of the questions raised by Golumbic, Lipshteyn and Stern regarding edge intersection graphs of paths on a grid (EPG graphs). We prove that for any d ≥ 4, in order to represent all n vertex graphs with maximum degree d as edge intersection graphs of n paths, a grid of area Θ(n2) is needed. A bend is a turn of a path at a grid point. Let Bk be the class of graphs that have an EPG r...
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An EPG-representation of a graph G is a collection of paths in a plane square grid, each corresponding to a single vertex of G, so that two vertices are adjacent if and only if their corresponding paths share infinitely many points. In this paper we focus on graphs admitting EPG-representations by paths with at most 2 bends. We show hardness of the recognition problem for this class of graphs, ...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2009
ISSN: 0166-218X
DOI: 10.1016/j.dam.2009.06.015