Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10331849 | Information Processing Letters | 2014 | 4 Pages |
Abstract
Exchanged hypercubes (Loh et al., 2005 [13]) are spanning subgraphs of hypercubes with about one half of their edges but still with many desirable properties of hypercubes. Lower and upper bounds on the domination number of exchanged hypercubes are proved which in particular imply that γ(EH(2,t))=2t+1 holds for any t⩾2. Using Hamming codes we also prove that γ(EH(s,2kâ1))⩽(2sâ2k)γ(Q2kâ1)+22kâ1(γ(Qsâ)+1) holds for s⩾k⩾3.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Sandi Klavžar, Meijie Ma,