Cycles embedding in exchanged hypercubes

The exchanged hypercube , proposed by Loh et al., is obtained by systematically removing links from a binary hypercube. This paper investigates important properties related to embedding cycles into the exchanged hypercube . The authors show that and are not bipancyclic, but (2⩽s⩽t) except is bipancyclic and (3⩽s⩽t) is vertex-bipancyclic. Moreover, every edge of (2⩽s⩽t) lies on an even l-cycle where 8⩽l⩽2s+t+1.