Depth-based hypergraph complexity traces from directed line graphs

作者:

Highlights:

• We aim to characterize hypergraphs in terms of structural complexity measures.

• Straightforwardly measuring the complexity of a hypergraph tends to be elusive.

• We transform a hypergraph into a line graph for measuring the complexities.

• We compute depth-based complexity traces for the hypergraph on line graphs.

• The complexity traces provide a flexible framework for hypergraphs and graphs.

摘要

Highlights•We aim to characterize hypergraphs in terms of structural complexity measures.•Straightforwardly measuring the complexity of a hypergraph tends to be elusive.•We transform a hypergraph into a line graph for measuring the complexities.•We compute depth-based complexity traces for the hypergraph on line graphs.•The complexity traces provide a flexible framework for hypergraphs and graphs.

论文关键词:Hypergraphs,Directed line graphs,Entropies,Centroid vertex,Depth-based complexity traces

论文评审过程:Received 15 November 2015, Accepted 7 January 2016, Available online 18 January 2016, Version of Record 27 February 2016.

论文官网地址:https://doi.org/10.1016/j.patcog.2016.01.004