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Realizing degree imbalances in directed graphs

Dhruv Mubayi·Todd G. Will·Douglas B. West
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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.

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Dhruv Mubayi, Todd G. Will, Douglas B. West. 1998-07-09. Realizing degree imbalances in directed graphs. https://arxiv.org/abs/math/9807043

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