On the crossing numbers of certain generalized Petersen graphs
نویسندگان
چکیده
McQuillan, D. and R.B. Richter, On the crossing numbers of certain generalized Petersen graphs, Discrete Mathematics 104 (1992) 311-320. In his paper on the crossing numbers of generalized Petersen graphs, Fiorini proves that P(8, 3) has crossing number 4 and claims at the end that P(10, 3) also has crossing number 4. In this article, we give a short proof of the first claim and show that the second claim is false. The techniques are interesting in that they focus on disjoint cycles, which must cross each other an even number of times.
منابع مشابه
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عنوان ژورنال:
- Discrete Mathematics
دوره 104 شماره
صفحات -
تاریخ انتشار 1992