
doi: 10.1007/bfb0038470
Graphs whose blocks are complete subgraphs are said to be block-complete graphs. Polynomial time algorithms to solve several problems, problems which are not believed to be polynomial for general graphs, are presented for connected block-complete graphs. These include: finding a minimum vertex cover, finding a minimum dominating set of radius r, and finding a minimum m-centrix radius r augmentation.
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