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Journal of Combinatorial Theory Series B
Article
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Journal of Combinatorial Theory Series B
Article . 1980
License: Elsevier Non-Commercial
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Journal of Combinatorial Theory Series B
Article . 1980 . Peer-reviewed
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Article . 1980
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On the orientation of graphs

Authors: András Frank;

On the orientation of graphs

Abstract

AbstractLet G(V, E) be a finite, undirected graph, and let l(X) be a set function on 2V. When can the edges of G be oriented so that the indegree of every subset X is at least l(X)? A necessary and sufficient condition is given for the existence of such an orientation when l(X) is “convex”.

Keywords

Connectivity, minimax, Directed graphs (digraphs), tournaments, graph, digraph, orientation, submodular, Theoretical Computer Science, Graph theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics

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    66
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    Top 10%
    influence
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    impulse
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
66
Top 10%
Top 1%
Average
hybrid