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On the Expressive Power of Implicit Line-Graph Higher-Order Weisfeiler--Leman

Yang, Fan
arXiv (OAI Expanded) · Papers
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social-and-information-networks
Whitney's theorem allows isomorphism testing for connected simple graphs, apart from $K_3$ and $K_{1,3}$, to be formulated as distinguishing their line graphs. However, the relation between fixed-dimensional Weisfeiler--Leman (WL) expressivity on line graphs and on their roots remains unresolved. We
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