Honeycomb rectangular disks
In this paper, we propose a variation of honeycomb meshes. A honeycomb rectangular disk HReD(m,n) is obtained from the honeycomb rectangular mesh HReM(m,n) by adding a boundary cycle. A honeycomb rectangular disk HReD(m,n) is a 3-regular planar graph. It is obvious that the honeycomb rectangular mesh HReM(m,n) is a subgraph of HReD(m,n). We also prove that HReD(m,n) is hamiltonian. Moreover, HReD(m,n)?f remains hamiltonian for any f?V(HReD(m,n))?E(HReD(m,n)) if n?6.
honeycomb mesh hamiltonian