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Minimum path bases and relevant paths

Authors: Petra M. Gleiss; Josef Leydold; Peter F. Stadler;

Minimum path bases and relevant paths

Abstract

AbstractGiven an undirected graph G(V,E) and a vertex subset U ⊆ V the U‐space is the vector space over GF(2) spanned by the paths with end‐points in U and the cycles in G(V,E). We extend Vismara's algorithm to the computation of the union of all minimum length bases of the U‐space. Although the size distribution of subgraphs is the same in all minimum length bases, the number of cycles and paths may differ. © 2005 Wiley Periodicals, Inc. NETWORKS, Vol. 46(3), 119–123 2005

Country
Austria
Keywords

MSC 05C38, 05C85, Preprint Series / Department of Applied Statistics and Data Processing, graph theory / cycle space / relevant cycles and paths / minimum cycle basis, Paths and cycles

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
Green
bronze