id: 06004153
dt: j
an: 06004153
au: Nakamoto, Atsuhiro; Ozeki, Kenta
ti: Hamiltonian cycles in bipartite quadrangulations on the torus.
so: J. Graph Theory 69, No. 1-2, 143-151 (2012).
py: 2012
pu: John Wiley \& Sons, New York, NY
la: EN
cc: 
ut: Hamiltonian cycle; quadrangulation; bipartite graph; torus
ci: 
li: doi:10.1002/jgt.20569
ab: Summary: In this article, we prove that every bipartite quadrangulation $G$
    on the torus admits a simple closed curve visiting each face and each
    vertex of $G$ exactly once but crossing no edge. As an application, we
    conclude that the radial graph of any bipartite quadrangulation on the
    torus has a hamiltonian cycle.
rv: