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In this note, we first show that the general Zagreb index can be obtained from the M−polynomial of a graph by giving a suitable operator. Next, we obtain M−polynomial of some cactus chains. Furthermore, we derive some degree based topological indices of cactus chains from their M−polynomial.doi:10.1080/23311835.2017.1305638 fatcat:ynvkthv4ovhizhbsjq2w2fq7km