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Let C(2m, k) be the set of all cactuses on 2m vertices, k cycles, and with perfect matchings. In this paper, we identify in C(2m, k) the unique graph with the largest spectral radius. 2000 Mathematics Subject Classification. 05C50.doi:10.2298/aadm110221011h fatcat:bghnteihvvhtrmmowo2njfraim