# A note on computing set overlap classes

@article{Charbit2008ANO, title={A note on computing set overlap classes}, author={P. Charbit and M. Habib and V. Limouzy and F. D. Montgolfier and M. Raffinot and M. Rao}, journal={Inf. Process. Lett.}, year={2008}, volume={108}, pages={186-191} }

Let V be a finite set of n elements and F={X"1,X"2,...,X"m} a family of m subsets of V. Two sets X"i and X"j of F overlap if X"i@?X"j @A, X"j@?X"i @A, and X"i@?X"j @A. Two sets X,Y@?F are in the same overlap class if there is a series X=X"1,X"2,...,X"k=Y of sets of F in which each X"iX"i"+"1 overlaps. In this note, we focus on efficiently identifying all overlap classes in O(n+@?"i"="1^m|X"i|) time. We thus revisit the clever algorithm of Dahlhaus [E. Dahlhaus, Parallel algorithms for… Expand

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An example (continued) of the resulting subgraph is shown in Figure 5

- An example (continued) of the resulting subgraph is shown in Figure 5