We study the number of independent vertex subsets (known as the MerrifieldSimmons index in mathematical chemistry) and the number of independent edge subsets (called the Hosoya index) for trees whose vertex degrees are restricted to 1 or d (for some d ≥ 3), a natural restriction in the chemical context. We find that the minimum of the Merrifield-Simmons index and the maximum of the Hosoya index...

The synthesis of diverse substituted indole structures on solid supports is described. The immobilization of nitrobenzoic acid onto Merrifield resin and the subsequent treatment with alkenyl Grignard reagents delivered indole carboxylates bound to solid supports. In contrast to results in the liquid phase, ortho,ortho-unsubstituted nitroarenes also delivered indole moieties in good yields. Subs...

Abstract Bruce Merrifield (1921‒2006) was an American biochemist who, at the Rockefeller Institute, invented a highly efficient technique for producing peptides and proteins in early 1960s. He awarded Nobel Prize Chemistry 1984. We remember this original, low-profile contributor to chemistry on occasion of one hundredth anniversary his birth.

In this study, we compute Merrifield-Simmons index of graphs which corresponds to PL (2, n) by using the decomposition formula. Examination shows that Merri-field-Simmons certain classes deduce as a result in difference equation. Further, prominent formula for and generating function are found number n hexagons state n). Also relations formed (PL n, n)) obtained combining two with angle between...