Geodesic
On $2$-extendability of generalized Petersen graphs
Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 77-81

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Let $GP(n,k)$ be a generalized Petersen graph with $(n,k)=1$, $ n>k\geq4.$ Then every pair of parallel edges of $GP(n,k)$ is contained in a 1-factor of $GP(n,k)$. This partially answers a question posed by Larry Cammack and Gerald Schrag [Problem 101, Discrete Math. 73(3), 1989, 311-312].
Let $GP(n,k)$ be a generalized Petersen graph with $(n,k)=1$, $ n>k\geq4.$ Then every pair of parallel edges of $GP(n,k)$ is contained in a 1-factor of $GP(n,k)$. This partially answers a question posed by Larry Cammack and Gerald Schrag [Problem 101, Discrete Math. 73(3), 1989, 311-312].
DOI : 10.21136/MB.1996.125939
Classification : 05C70
Keywords: generalized Petersen graph; 2-extendable; one factor 
Limaye, N. B.; Rao, Mulupuri Shanthi C. On $2$-extendability of generalized Petersen graphs. Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 77-81. doi: 10.21136/MB.1996.125939
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[1] G. Schrag, L. Cammack: On the 2-extendability of the generalized Petersen graphs. Discrete Math. 78 (1989), 169-177. | DOI | MR | Zbl

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