Abstract:In this paper, we present a new method to produce explicit formulas for the number of rooted spanning forests f (n) for the infinite family of graphsthis foliation is the circulant graph on n vertices with jumps s i,1 , s i,2 , . . . , s i,k i . This family includes the family of generalized Petersen graphs, I-graphs, sandwiches of circulant graphs, discrete torus graphs and others.The formulas are expressed through Chebyshev polynomials. We prove that the number of rooted spanning forests can be represented i… Show more
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