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Graph transformations which preserve the multiplicity of an eigenvalue

✍ Scribed by Yeh Yeong-Nan; Ivan Gutman; Fu Chin-Mei

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
418 KB
Volume
67
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES

Distance-Regular Graphs with an Eigenval
Distance-Regular Graphs with an Eigenvalue of Multiplicity Four
✍ R.R. Zhu πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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
✍ Norio Yamazaki πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.