Ivan Stojmenovic

List of publications (1986-1995)

Computational Chemistry

The problems studied were computer generation of benzenoid hydrocarbons, perfect matchings of square, pentagonal and hexagonal chains, and benzenoid chains with unique Clar formulas.

  The problem of enumerating fusenes and benzenoid (or polyhex) hydrocarbons (i.e. figures composed from regular haxagons) has been studied in hundreds of papers in chemical literature. The main data are the number of polyhexes with given number h of hexagons and the classification according to various parameters like perimeter, symmetry etc. The tables obtained by computer means reveal important properties of these structures (e.g. stability and color excess) and are used to derive further results in chemical literature. In 1987, Stojmenovic, Tosic and Doroslovacki computed these tables for h=11 (141229 in total). This was done using a computer program written by Stojmenovic, and run a fast computer in Japan, during his stay in 1985/86. That paper and its results, despite being published only in a national conference [STD], were highly cited in chemical literature. It has made significant impact in this area. For example, J.R. Dias, J. Chem.Inf.&Comp.Sci., 30, 1990, 251-156:' The recent availability of the benzenoid isomer table of Stojmenovic and co-workers has allowed us to deduce isomer numbers that were heretofore unknown'. Our tables were copied in several chemical books (e.g. I. Gutman, S.J. Cyvin, Introduction to the Theory of Benzenoid Hydrocarbons, Springer-verlag, 1989, pp. 40-43; Topics  in Current Chemistry, Vol. 162, 1992, and Vol. 166, 1993). A combined effort of a team from Serbia, Canada, and Norway [TMSB] extended the tables to h=17. The topic is still active among researchers, with current (January 2004) enumeration record at h=27 and current count record at h=35.

Major articles:

{45 citations} [STD] Stojmenovic I., Tosic R., Doroslovacki R., Generating and counting hexagonal systems, Sixth Yugoslav Seminar on Graph Theory, Dubrovnik, 1985, Inst. Math., Univ. Novi Sad, 1986, 189-198.

{12 citations} [TMSB] Tosic R., Masulovic D., Stojmenovic I., Brunvoll J., Cyvin B.N. and Cyvin S.J., Enumeration of Polyhex Hydrocarbons to h=17, Journal of Chemical Information and Computer Sciences, 35, 2, 1995, 181-187.

[TS2] Tosic R., Stojmenovic I., Benzenoid chains with the unique Clar formula, Journal of Molecular Structure THEOCHEM, 207 (1990) 285-291.