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Breaking the Exponential Barrier: The First Polynomial-Time Algorithm for the Győri-Lovász Theorem

Hajiaghayi, Mohammad T. et al.
arXiv (All) · Papers
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combinatoricsdata-structures-and-algorithms
We give the first polynomial-time algorithm, after half a century, for the celebrated Győri-Lovász theorem, which resolved a conjecture of Frank (1975). The theorem, one of the simplest existential theorems to explain, states that every $k$-connected graph can be partitioned into $k$ disjoint connec
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