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Largest eigenvalue of a unicyclic mixed graph

✍ Scribed by Yizheng Fan


Book ID
107500687
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2004
Tongue
English
Weight
445 KB
Volume
19
Category
Article
ISSN
1005-1031

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Connected graphs in which the number of edges equals the number of vertices are called unicyclic graphs. In this paper, all unicyclic graphs whose second largest eigenvalue does not exceed 1 have been determined.

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In this paper all connected line graphs whose second largest eigenvalue does not exceed 1 are characterized. Besides, all minimal line graphs with second largest eigenvalue greater than 1 are determined.