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Normalized hodge laplacian matrix and its spectrum

descriptionPublicationkeyboard_double_arrow_right Doctoral thesis 15 Sep 2023Publisher:Office of Academic Resources, Chulalongkorn University
Authors: Nalinpat Ponoi;

doi: 10.58837/chula.the.2019.337

Normalized hodge laplacian matrix and its spectrum

Abstract

Let ? be a simplicial complex, ?[ Subscript ?] ∶ ?[ Subscript ?] → ?[ Subscript ?−1] a boundary map on ? and ?[ Subscript ?] a matrix representation of ?[ Subscript ?]. A Hodge ?-Laplacian matrix on simplicial complexes is defined by ?[ Subscript ?]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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