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Spin models with an eigenvalue of small multiplicity

โœ Scribed by K Nomura

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
737 KB
Volume
71
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

Distance-Regular Graphs with an Eigenval
Distance-Regular Graphs with an Eigenvalue of Multiplicity Four
โœ R.R. Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 939 KB

Let \(G\) be a distance-regular graph. If \(G\) has an eigenvalue \(\theta\) of multiplicity \(m\) \((\geqslant 2)\), then \(G\) has a natural representation in \(R^{m}\). By studying the geometric properties of the image configuration in \(R^{m}\), we can obtain considerable information about the g

Bipartite Distance-Regular Graphs with a
Bipartite Distance-Regular Graphs with an Eigenvalue of Multiplicity itk m
โœ Norio Yamazaki ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

We show that, if a bipartite distance-regular graph of valency k has an eigenvalue of multiplicity k, then it becomes 2-homogeneous. Combined with a result on bipartite 2-homogeneous distance-regular graphs by K. Nomura, we have a classification of such graphs.