Depth-based complexity traces of graphs

作者:

Highlights:

• We identify a centroid vertex of a graph through its shortest path matrix.

• We establish a family of expansion subgraphs of a graph from its centroid vertex.

• We construct depth-based complexity traces of a graph on its expansion subgraphs.

• We evaluate the performance of our complexity traces on standard graph datasets.

• We demonstrate the effectiveness and efficiency of the graph complexity traces.

摘要

Highlights•We identify a centroid vertex of a graph through its shortest path matrix.•We establish a family of expansion subgraphs of a graph from its centroid vertex.•We construct depth-based complexity traces of a graph on its expansion subgraphs.•We evaluate the performance of our complexity traces on standard graph datasets.•We demonstrate the effectiveness and efficiency of the graph complexity traces.

论文关键词:Depth-based complexity traces,Entropy,Entropy difference,Centroid vertex,Centroid expansion subgraphs,Graph classification

论文评审过程:Received 10 January 2013, Revised 11 September 2013, Accepted 15 September 2013, Available online 24 September 2013.

论文官网地址:https://doi.org/10.1016/j.patcog.2013.09.010