After much thinking and rethinking, we came to forming the opinion that Hankel function is better than modal analysis for studying the effect of distance——the distance from input point to transfer point——on point transfer mobility.

In this paper,we prove that a connected cubic vertex-transitive graph of order 2p~2(p a prime)is either a Cayley graph or isomorphic to the generalized Petersen graph p(p~2,t), where t~2≡-1(mod p~2

In fact, researching the symmetry property of the Coset graph is more significant than the Cayleygraph, because every vertex-transitive graph is always some Coset graph of its full automorphism group.

In fact, researching the symmetry of Sabidussi coset graphs has more general significance than doing so for the Cayley graph because every vertex-transitive graph is always some coset graph of its full automorphism group.