Graph Orientation With Splits
THEORETICAL COMPUTER SCIENCE(2020)
摘要
The Minimum Maximum Outdegree Problem (MMO) is to assign a direction to every edge in an input undirected, edge-weighted graph so that the maximum weighted outdegree taken over all vertices becomes as small as possible. In this paper, we introduce a new variant of MMO called the p-Split Minimum Maximum Outdegree Problem (p-Split-MMO) in which one is allowed to perform a sequence of p split operations on the vertices before orienting the edges, for some specified non-negative integer p, and study its computational complexity. (C) 2020 Elsevier B.V. All rights reserved.
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关键词
Graph orientation,Maximum flow,Vertex cover,Partition,Algorithm,Computational complexity
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