An update on non-Hamiltonian 54-tough maximal planar graphs
نویسنده
چکیده
Studying the shortness of longest cycles in maximal planar graphs, we improve the upper bound on the shortness exponent of the class of 54 -tough maximal planar graphs presented by Harant and Owens [Discrete Math. 147 (1995), 301–305]. In addition, we present two generalizations of a similar result of Tkáč who considered 1-tough maximal planar graphs [Discrete Math. 154 (1996), 321–328]; we remark that one of these generalizations gives a tight upper bound. We fix a problematic argument used in both mentioned papers.
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عنوان ژورنال:
- Discrete Mathematics
دوره 341 شماره
صفحات -
تاریخ انتشار 2018