Algebraic Method for Solving Multiple Degenerate Eigenvalues in [r]Triangulenes

[Image: see text] An algebraic procedure for overcoming the multiple degeneracy problem in eigenvalue (root) determination of the characteristic polynomial of 3-fold symmetrical molecular graphs is given. This leads to the tabulation of Hückel molecular orbital binding energy (E(π)) and eigenvalues (roots) for [2]triangulene to [9]trianguene for the first time. Triangulenes are the smallest possible condensed benzenoid polyradicals.