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A unified method for eigendecomposition of graph products

โœ Scribed by Kaveh, A. ;Rahami, H.


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
129 KB
Volume
21
Category
Article
ISSN
1069-8299

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โœฆ Synopsis


Abstract

In this paper, a unified method is developed for calculating the eigenvalues of the weighted adjacency and Laplacian matrices of three different graph products. These products have many applications in computational mechanics, such as ordering, graph partitioning, and subdomaining of finite element models. Copyright ยฉ 2005 John Wiley & Sons, Ltd.


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Wilbrink and Brouwer [18] proved that certain semi-partial geometries with some weak restrictions on parameters satisfy the dual of Pasch's axiom. Inspired by their work, a class of incidence structures associated with distance-regular graphs with classical parameters is studied in this paper. As a