Supermodularity in unweighted graph optimization III: Highly connected digraphs

Kristóf Bérczi, András Frank


By generalizing a recent result of Hong, Liu, and Lai on characterizing the degree-sequences of simple strongly connected directed graphs, a characterization is provided for degree-sequences of simple $k$-node-connected digraphs. More generally, we solve the directed node-connectivity augmentation problem when the augmented digraph is degree-specified and simple. As for edge-connectivity augmentation, we solve the special case when the edge-connectivity is to be increased by one and the augmenting digraph must be simple.

Bibtex entry:

AUTHOR = {B{\'e}rczi, Krist{\'o}f and Frank, Andr{\'a}s},
TITLE = {Supermodularity in unweighted graph optimization III: Highly connected digraphs},
NOTE= {{\tt}},
INSTITUTION = {Egerv{\'a}ry Research Group, Budapest},
YEAR = {2016},
NUMBER = {TR-2016-11}

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