On grid intersection graphs
نویسندگان
چکیده
Hartman I.B.-A., I. Newman and R. Ziv, On grid intersection graphs, Discrete Mathematics 87 (1991) 41-52. A bipartite graph G = (X, Y; E) has a grid representation if X and Y correspond to sets of horizontal and vertical segments in the plane, respectively, such that (xi, y,) E E if and only if segments x, and y, intersect. We prove that all planar bipartite graphs have a grid representation, and exhibit some infinite families of graphs with no grid representation-among them the point line incidence graph of projective planes.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 87 شماره
صفحات -
تاریخ انتشار 1991