The core theory presented is the systematic translation of condensed molecular formulas into skeletal (line-angle) structures within organic chemistry, governed by valence rules that dictate carbon atoms must satisfy four covalent bonds through sigma or pi connections and implicit hydrogens. This abstraction relies on formal graph-theoretic representations where vertices denote heavy non-hydrogen atoms and line segments represent single, double, or triple bond orders derived from saturation states (e.g., terminal vs. internal carbons). The methodology establishes isomeric equivalence by identifying the longest continuous carbon chain as the parent structure while treating attached alkyl groups and heteroatoms as substituents defined at specific locants according to IUPAC nomenclature conventions.
The core theory presented is the systematic translation of condensed molecular formulas into skeletal (line-angle) structures within organic chemistry, governed by valence rules that dictate carbon a…