Nesting of Prime Substructures in k - aryRelationsPaola
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چکیده
The modular decomposition of a graph or relation has a large number of com-binatorial applications. It divides the structure into a set of \prime" induced sub-structures, which cannot be further decomposed. Recent work on graphs and k-ary relations has focused on the discovery that prime induced substructures are densely nested when they occur. Lower bounds on the \nesting density" of prime substruc-tures in graphs are used heavily in the only known linear-time algorithm for directed graphs. We improve on the previously known lower bounds for k-ary relations, and show that no further improvement is possible.
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تاریخ انتشار 1999