A necessary and sufficient eigenvector condition for a connected graph to be bipartite.
Cioaba, Sebastian M.
ELA. The Electronic Journal of Linear Algebra [electronic only], Tome 20 (2010), p. 351-353 / Harvested from The Electronic Library of Mathematics
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Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:228239 
@article{05850020,
     title = {A necessary and sufficient eigenvector condition for a connected graph to be bipartite.},
     journal = {ELA. The Electronic Journal of Linear Algebra [electronic only]},
     volume = {20},
     year = {2010},
     pages = {351-353},
     zbl = {1205.05137},
     language = {en},
     url = {http://dml.mathdoc.fr/item/05850020}
}

Cioaba, Sebastian M. A necessary and sufficient eigenvector condition for a connected graph to be bipartite.. ELA. The Electronic Journal of Linear Algebra [electronic only], Tome 20 (2010) pp. 351-353. http://gdmltest.u-ga.fr/item/05850020/