C-Planarity of C-Connected Clustered Graphs Part II – Testing and Embedding Algorithm

نویسنده

  • P. F. Cortese
چکیده

We present a linear time c-planarity testing and embedding algorithm for c-connected clustered graphs. The algorithm is based on a characterization of the clustered planarity given in a companion paper [3]. The algorithm is reasonably easy to implement, since it exploits as building blocks simple algorithmic tools like the computation of lowest common ancestors, of minimum and maximum spanning trees, and of bucket sorts. It also makes use of data structures like the SPQR-trees and the BC-trees. If the test fails it gives a structural certificate of the intrinsic reasons causing the non c-planarity.

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تاریخ انتشار 2006