Characterizing the fullerene graphs with the minimum forcing number 3
نویسندگان
چکیده
The minimum forcing number of a graph G is the smallest edges simultaneously contained in unique perfect matching G. Zhang et al. (2010) claimed that any fullerene was bounded below by 3. However, we find there exists exactly one exceptional F24 with 2. In this paper, characterize all fullerenes 3 construction approach. This also solves an open problem proposed We except for F24, anti-forcing 4 have particular, nanotube type (4,2) are such fullerenes.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2021
ISSN: ['1872-6771', '0166-218X']
DOI: https://doi.org/10.1016/j.dam.2021.02.001