## Combinatorial Algorithms |

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additive algorithm appear Applied array assigned associativity assume basic unit binary block Boolean bound boxes called color columns comparisons complete component condition connected consider construction contains corresponding cost cycle defined Definition denote described directed edge edge color elements entries equal example execute exists expected number fact Figure given going graph hole independent initial input insertion integer intersection inverse known least Lemma length matrix matroids merge method monochromatic triangles multiplication nodes objects obtain operations optimal optimum pair parity partition pass path perform positions possible present probability problem procedure proof question random rank reduces REFERENCES Region result root Science sequence shown sort steps subgraph sum-free sets tape template Theorem tions tree triples University valence values vertex vertices weight