Max-leaves spanning tree is APX-hard for cubic graphs. Bonsma, P. S. J. Discrete Algorithms (JDA), 12:14-23, 2012.
Max-leaves spanning tree is APX-hard for cubic graphs [link]Paper  bibtex   
@article{ dblp2265580,
  title = {Max-leaves spanning tree is APX-hard for cubic graphs},
  author = {Paul S. Bonsma},
  author_short = {Bonsma, P. S.},
  bibtype = {article},
  type = {article},
  year = {2012},
  key = {dblp2265580},
  id = {dblp2265580},
  biburl = {http://www.dblp.org/rec/bibtex/journals/jda/Bonsma12},
  url = {http://dx.doi.org/10.1016/j.jda.2011.06.005},
  journal = {J. Discrete Algorithms (JDA)},
  pages = {14-23},
  volume = {12},
  text = {J. Discrete Algorithms (JDA) 12:14-23 (2012)}
}

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