Abstract
Each square in a regular square lattice is given a colour according to a common probability distribution. Edges belonging to two squares of the same colour are deleted. The numbers of faces and components of the remaining sublattice are investigated.
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References
O. Frank, On random planar graphs, Proceedings of the Fourth International Conference on the Theory and Applications of Graphs, edited by G. Chartrand et al., Wiley, New York (1981), 363–372.
O. Frank, Random regions in the plane, Statistics Dept., University of Lund (1981).
F. Harary, Graph Theory, Addison-Wesley, Reading, Mass. (1969).
D.J.A. Welsh, Percolation and related topics, Science Progress, 64 (1977), 67–85.
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© 1983 Springer-Verlag
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Frank, O. (1983). Faces and components of random lattices. In: Borowiecki, M., Kennedy, J.W., Sysło, M.M. (eds) Graph Theory. Lecture Notes in Mathematics, vol 1018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071610
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DOI: https://doi.org/10.1007/BFb0071610
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