The Number of Independent Sets in a Grid Graph
نویسندگان
چکیده
Let Gm,n be the m×n grid graph. That is, the vertices of Gm,n are the (m+1)(n+1) points (i, j) (0 ≤ i ≤ m, 0 ≤ j ≤ n) in the plane, and its edges are all of the pairs (i, j), (i′, j′) of vertices for which |i − i′| + |j − j′| = 1. Let f(m,n) be the number of independent sets of vertices in Gm,n. We study the growth of f(m,n). The figure below shows an independent set S in G4,6. figure=grid.eps Fig. 1
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عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 11 شماره
صفحات -
تاریخ انتشار 1998