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Some results on graphs with exactly two main eigenvalues

✍ Scribed by Yaoping Hou; Zikai Tang; Wai Chee Shiu


Book ID
116217487
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
281 KB
Volume
25
Category
Article
ISSN
0893-9659

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Graphs with Exactly Two Negative Eigenva
✍ Aleksandar TorgaΕ‘ev πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 290 KB

In this paper we determine all finite connected graphs whose spectiviri contains exactly two negative eigenvalues. The main theorem says that a graph hm exactly two negative eigenvalues if and only if its "canonical graph" (defined below) is one of nine particular graphs on 3, 4, 5 and G vertices.