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Realizing degree imbalances in directed graphs

Combinatorics 2007-05-23 v1

Abstract

In a directed graph, the imbalance of a vertex is its outdegree minus its indegree. We characterize the sequences that are realizable as the sequence of imbalances of a simple directed graph. Moreover, a realization of a realizable sequence can be produced by a greedy algorithm.

Keywords

Cite

@article{arxiv.math/9807043,
  title  = {Realizing degree imbalances in directed graphs},
  author = {Dhruv Mubayi and Todd G. Will and Douglas B. West},
  journal= {arXiv preprint arXiv:math/9807043},
  year   = {2007}
}

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5 pages