The crossing number of the strong product of two paths
نویسنده
چکیده
Let Pm Pn be the strong product of two paths Pm and Pn. In 2013, Klešč et al. conjectured that the crossing number of Pm Pn is equal to (m − 1)(n − 1) − 4 for m ≥ 4 and n ≥ 4. In this paper we show that the above conjecture is true except when m = 4 and n = 4, and that the crossing number of P4 P4 is four.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 68 شماره
صفحات -
تاریخ انتشار 2017