On the spread of outerplanar graphs

The spread of a graph is the difference between the largest and most negative eigenvalue of its adjacency matrix. We show that for sufficiently large nn, the nn-vertex outerplanar graph with maximum spread is a vertex joined to a linear forest with ω(n)\Omega \left(n) edges. We conjecture that the e...

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Bibliographic Details
Main Authors: Gotshall, D. (Author), O'Brien, M. (Author), Tait, M. (Author)
Format: Article
Language:English
Published: De Gruyter Open Ltd 2022
Subjects:
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