In this paper, we prove that a non-negative rational number sequence (a1,a2,... ,ak+1) is k-Hamilton-nice, if (1) and (2) implies for arbitrary i1,i2,...,i h∈{1,2,... ,k}. This result was conjectured by Guantao Chen ...In this paper, we prove that a non-negative rational number sequence (a1,a2,... ,ak+1) is k-Hamilton-nice, if (1) and (2) implies for arbitrary i1,i2,...,i h∈{1,2,... ,k}. This result was conjectured by Guantao Chen and R.H. Schelp, and it generalizes several well-known sufficient conditions for graphs to be Hamiltonian.展开更多
文摘In this paper, we prove that a non-negative rational number sequence (a1,a2,... ,ak+1) is k-Hamilton-nice, if (1) and (2) implies for arbitrary i1,i2,...,i h∈{1,2,... ,k}. This result was conjectured by Guantao Chen and R.H. Schelp, and it generalizes several well-known sufficient conditions for graphs to be Hamiltonian.
