Ke-Pan Lu

Two-disjoint-cycle-cover edge bipancyclicity of bipartite generalized hypercubes

Let \(G=C(d_1,\ldots,d_n)=F_1\BoxProd\cdots\BoxProd F_n\) be a bipartite generalized hypercube with \(n\geq2\), all \(d_i\) even, and \(N=|V(G)|\geq8\), where \(F_i=K_2\) when \(d_i=2\), and \(F_i=C_{d_i}\) when \(d_i\geq4\). We prove the following exact strengthening of two-disjoint-cycle-cover vertex bipancyclicity....