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Regular bipartite graphs with three distinct non-negative eigenvalues

✍ Scribed by Koledin, Tamara; Stanić, Zoran


Book ID
123002080
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
343 KB
Volume
438
Category
Article
ISSN
0024-3795

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Bipartite Distance-Regular Graphs with a
✍ Norio Yamazaki 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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.