The algebraic application of Lewis structures in conjunction with combinatorial analysis in global molecular identification from graphs

Closed shell bonding can be described by a theory that relates the manner that atoms fill their outer shells to algebraic formulas. Equations can be derived that are capable of deciding whether a given electron configuration gives a closed shell electron structure or not. A combinatorial analysis can be used to try every possible electron configuration for a given structure. The equations are then used to determine whether each structure gives a closed shell electron configuration. Some of these molecules may be considered impossible because they are bonded to noble gases. However, a list of molecules that contain a noble gas species is included to show that bonding to noble gases is not impossible. An initial list of triatomic linear molecules is presented