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New method uses line graphs to analyze sparse graph limits

Researchers have developed a novel method for estimating graph limits, known as graphons, by transforming sparse finite graphs into their line graphs. This technique allows for the application of existing dense graph graphon results to analyze sparse graph properties. The study demonstrates that this approach can distinguish between different numbers of star graphs, which are otherwise indistinguishable due to sparsity, and shows that superlinear preferential attachment graphs also yield dense line graphs. AI

RANK_REASON Academic paper published on arXiv detailing a new method for graph analysis. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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New method uses line graphs to analyze sparse graph limits

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Academic paper published on arXiv detailing a new method for graph analysis. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Sevvandi Kandanaarachchi, Cheng Soon Ong ·

    Graphons of Line Graphs

    arXiv:2409.01656v4 Announce Type: replace-cross Abstract: We consider the problem of estimating graph limits, known as graphons, from observations of sequences of sparse finite graphs. In this paper we show a simple method that can shed light on a subset of sparse graphs. The met…