Algebraic structure count of liner phenylenes and their congeners

Algebraic structure count of liner phenylenes and their congeners

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The algebraic structure count of the linear phenylene with h six-membered rings is known to be equal to h + 1.We show that the same expression applies if each four-membered ring in the phenylene Puzzle Necklace is replaced by a linear array consisting of k four-membered rings, Hockey Skates - Holders where k = 4, 7, 10,.For any other value of k, the algebraic structure count is either 0 or 1 or 2, and does not increase with increasing h.