2-extendability of toroidal polyhexes and Klein-bottle polyhexes

Dong Ye, Heping Zhang
2009 Discrete Applied Mathematics  
A toroidal polyhex (resp. Klein-bottle polyhex) described by a string (p, q, t) arises from a p × q-parallelogram of a hexagonal lattice by a usual torus (resp. Klein bottle) boundary identification with a torsion t. A connected graph G admitting a perfect matching is kextendable if |V(G)| ≥ 2k + 2 and any k independent edges can be extended to a perfect matching of G. In this paper, we characterize 2-extendable toroidal polyhexes and 2extendable Klein-bottle polyhexes.
doi:10.1016/j.dam.2008.03.009 fatcat:hoessqshynhrji3ra7s2uzx4iy