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Computing the clar number of nanotubes and other fullerenes | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 3، دوره 7، شماره 4، اسفند 2022، صفحه 209-221 اصل مقاله (2.03 M) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2022.843 | ||
| نویسندگان | ||
| Juan Andres Montoya* 1؛ Laura Viviana Cadavid2 | ||
| 1Mathematics, Sciences Universidad Nacional de Colombia Bogota | ||
| 2Mathematics, Sciences, Universidad Nacional de Colombia, Bogota, Colombia | ||
| تاریخ دریافت: 01 آبان 1401، تاریخ بازنگری: 19 آبان 1401، تاریخ پذیرش: 01 آذر 1401 | ||
| چکیده | ||
| We exhibit a polynomial time algorithm that computes the Clar number of any nanotube. This algorithm can be easily extended to one that computes the Clar number of fullerene whose pentagon-clusters are all of even size. It is known that computing the Clar number of planar graphs is NP-hard. It is not known if computing the Clar number of fullerenes is a tractable problem. We show that the latter problem can be suitably approximated in polynomial time, and we also discuss the existence of fpt-algorithms for this important problem of Cheminformatics. | ||
| کلیدواژهها | ||
| fullerene؛ Clar Number؛ Benzonoids؛ Integer programming | ||
| مراجع | ||
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