Title

Multilevel Graph Embedding

Published In

Numerical Linear Algebra with Applications

Document Type

Citation

Publication Date

9-23-2020

Abstract

The goal of the present paper is the design of embeddings of a general sparse graph into a set of points in "ℝ𝑑 " for appropriate d ≥ 2. The embeddings that we are looking at aim to keep vertices that are grouped in communities together and keep the rest apart. To achieve this property, we utilize coarsening that respects possible community structures of the given graph. We employ a hierarchical multilevel coarsening approach that identifies communities (strongly connected groups of vertices) at every level. The multilevel strategy allows any given (presumably expensive) graph embedding algorithm to be made into a more scalable (and faster) algorithm. We demonstrate the presented approach on a number of given embedding algorithms and large‐scale graphs and achieve speed‐up over the methods in a recent paper.

Rights

© 2020 John Wiley & Sons, Ltd.

Locate the Document

https://doi.org/10.1002/nla.2326

DOI

10.1002/nla.2326

Persistent Identifier

https://archives.pdx.edu/ds/psu/34229

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