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- W2002164425 abstract "In this paper, we aim to characterize hyper graphs in terms of structural complexities. To measure the complexity of a hyper graph in a straightforward way, we transform a hyper graph into a line graph which accurately reflects the multiple relationships exhibited by the hyper graph. To locate the dominant substructure within a line graph, we identify a centroid vertex by computing the minimum variance of its shortest path lengths. A family of directed centroid expansion sub graphs of the line graph is then derived from the centroid vertex. We compute the directed depth-based complexity trace of a hyper graph by measuring directed entropies on its directed sub graphs. The novel hyper graph complexity trace provides a flexible framework that can be applied to both hyper graphs and graphs. Experiments on standard (hyper)graph datasets demonstrate the effectiveness and efficiency of the new complexity trace." @default.
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- W2002164425 date "2014-08-01" @default.
- W2002164425 modified "2023-10-15" @default.
- W2002164425 title "Directed Depth-Based Complexity Traces of Hypergraphs from Directed Line Graphs" @default.
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- W2002164425 doi "https://doi.org/10.1109/icpr.2014.807" @default.
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