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The document summarizes recent work confirming conjectures about the resolvent energy of unicyclic, bicyclic, and tricyclic graphs. Specifically: - It confirms that the unicyclic graph with maximum resolvent energy is Xn (with an odd cycle), and the bipartite unicyclic graph with maximum resolvent energy is X̃n. - It shows the unicyclic graphs with minimum resolvent energy are Cn and Cn* for n ≥ 5. - It determines that the bicyclic graph with maximum resolvent energy and the tricyclic graph with maximum

Author

Anonymous 4tkR6Vf9P

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EN