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The eccentricity connectivity polynomial of a molecular graph G is defined as , where ecc(u) is defined as the length of a maximal path connecting u to another vertex of G. In this article, we compute the eccentricity connectivity index and polynomial of CNCm[n] carbon nanocones for any arbitrary amount of n and m so that n
1 and 3
m
7. A Matlab program is presented that is useful for computing this index and polynomial of carbon nanocones.
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