Sl. Lee et Yn. Yeh, TOPOLOGICAL ANALYSIS OF SOME SPECIAL CLASSES OF GRAPHS .2. STEPS, LADDERS, CYLINDERS, Journal of mathematical chemistry, 14(3-4), 1993, pp. 231-241
A general strategy is proposed for generating the eigenvectors and the
eigenvalues of some special classes of graphs from the well-known che
mical graphs such as lines and cycles which are isomorphic to the hydr
ogen-suppressed linear and cyclic polyenes. This method is applied to
step graphs, ladders, cylinders, etc. Net sign analyses are then perfo
rmed for all these special classes of graphs.