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Conference Open access Oct 2026

A sharp complement signless Laplacian spectral condition for odd [1, b]-factors

We set G to be a connected graph of even order n ≥ b + 3, where b ≥ 3 is odd. We establish a sharp sufficient condition for the existence of an odd [1, b]-factor in terms of the signless Laplacian spectral radius q(G¯) of the complement graph. Specifically, if q(G¯)≤Φ(n,b)=n+2b−1+(n+2b−1)2−8b(b+1)2, then G has an odd [...

Zeng-Hui Shen, Jue Dai, Chang Liu et al. · 0 citations
#machine learning Preprint Aug 2026

Converse and Collision-Based Achievability for Node Localization with Hybrid Distance-Spectral Graph Positional Encodings

A hybrid distance-spectral encoding that combines anchor-distance profiles with quantized low-frequency Laplacian-energy coordinates is studied, showing that hybrid encodings better recover syntactic-tree geometry than distance-only or spectral-only baselines.

Zi-Mo Yan, Yi-Fang Li, Hao Li et al. · 0 citations

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