The minimum cardinality of maximal systems of rectangular islands
European Journal of Combinatorics
Cut approach to islands in rectangular fuzzy relations
Fuzzy Sets and Systems
Elementary proof techniques for the maximum number of islands
European Journal of Combinatorics
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If A=(a"i"j)"m"x"n is an mxn matrix of real numbers and @a,@b,@c,@d are integers with 1@?@a@?@b@?m and 1@?@c@?@d@?n then the elements a"i"j with @a@?i@?@b and @c@?j@?@d form a submatrix R which we call a rectangle of A. Let r be the least element (or one of the least elements) of R. If for every element a"i"j of A which is neighbouring to R we have a"i"j