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alkyl alkyl radicals application basic compound bicentric tree boxes Bruijn Bruijn,s theorem Burnside,s Lemma C-atoms C-H graph carbon atoms Cayley Cayley,s Chem chemical enumeration circle of convergence CnH2n+1OH coefficients collection of figures colors combinatorial problems computation configuration generating function congruent corona corresponding counting cycle index cyclopropane derived elements endpoints equal example figure generating function finite free trees functional equation graph theory graphical enumeration group H Harary Henze inequalities integer invariant isomers labelled mapping Math molecule necklace necklace problem nodes non-negative nonequivalent notation number of different number of graphs number of structurally number of topologically number of vertices obtained paraffins permutation group planted C-H trees planted trees Polya,s paper Polya,s Theorem polynomial power series principal branches Redfield,s rooted trees solution spatial stereoformula stereoisomers structural formula structurally isomeric substituted superposition theorem symmetric tion topologically different valence vertex vertices of degree