We give an alternative constructive proof of a theorem of M. Watkins, F. Castagna and G. Prins, i.e., the generalized Petersen graphs are of class one, except the Petersen graph. As a consequence, we obtain some bounds for the regular genus of these graphs and give a partial solution to a conjecture stated in [F. Castagna, G.Prins, Pacific J. Math. 40, 1972]
A note on Generalized Petersen Graphs / Spaggiari, Fulvia. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA. - ISSN 0041-8986. - STAMPA. - 41:(1993), pp. 381-392.
A note on Generalized Petersen Graphs
SPAGGIARI, Fulvia
1993
Abstract
We give an alternative constructive proof of a theorem of M. Watkins, F. Castagna and G. Prins, i.e., the generalized Petersen graphs are of class one, except the Petersen graph. As a consequence, we obtain some bounds for the regular genus of these graphs and give a partial solution to a conjecture stated in [F. Castagna, G.Prins, Pacific J. Math. 40, 1972]
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