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For each positive integer k, we give a finite list C(k) of Bondy–Chvátal type conditions on a nondecreasing sequence $$d=(d_1,\dots ,d_n)$$ d = ( d 1 , ⋯ , d n ) of nonnegative integers such that every graph on n vertices with degree sequence at least d is k-edge-connected. These conditions are best possible in the sense that whenever one of them fails for d then there is a graph on...
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