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pro vyhledávání: '"Zhang, Haohang"'
This paper aims to compute and estimate the eigenvalues of the Hodge Laplacians on directed graphs. We have devised a new method for computing Hodge spectra with the following two ingredients. (I) We have observed that the product rule does work for
Externí odkaz:
http://arxiv.org/abs/2406.09814
This paper presents a comprehensive analysis of the spectral properties of the connection Laplacian for both real and discrete tori. We introduce novel methods to examine these eigenvalues by employing parallel orthonormal basis in the pullback bundl
Externí odkaz:
http://arxiv.org/abs/2403.06105
Inspired by asymptotically flat manifolds, we introduce the concept of asymptotically flat graphs and define the discrete ADM mass on them. We formulate the discrete positive mass conjecture based on the scalar curvature in the sense of Ollivier curv
Externí odkaz:
http://arxiv.org/abs/2307.08334
On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof for the finiteness of the class, and give a complete classification. On
Externí odkaz:
http://arxiv.org/abs/2002.03550
Akademický článek
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