AUSTRALASIAN JOURNAL OF COMBINATORICS Volume 46 (2010), Pages 211–215 Generalized Pell numbers, graph representations and independent sets

In this paper we generalize the Pell numbers and the Pell-Lucas numbers and next we give their graph representations. We shall show that the generalized Pell numbers and the generalized Pell-Lucas numbers are equal to the total number of independent sets in special graphs.