Abstract
The n-dimensional hypercube Qn is bipancyclic and contains a 3-regular, 3-connected subgraph on l vertices for every even l from 8 to 2n except 10. In this paper, we strengthen the previous works to Cartesian product of paths. The bipancyclicity and the existence of 3-regular subgraphs of Cartesian product of paths are studied in this paper.
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