I. Gutman et Rb. Mallion, ON SPANNING-TREES IN CATACONDENSED MOLECULES, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 48(10), 1993, pp. 1026-1030
Among all catacondensed benzenoid molecules the unbranched systems pos
sess the largest number of spanning trees. Some other relations for th
e spanning-tree count of catacondensed benzenoids are also reported. T
he results obtained continue to hold for catacondensed molecules compo
sed of rings the size of which differ from six. The propositions repor
ted do, however, depend for their validity on there being rings of onl
y one size in the catacondensed system under study.