Geodesic
Graph manifolds genus 2
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 94-100 
F. G. Korablev. Graph manifolds genus 2. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 94-100. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a12/
@article{VCHGU_2008_10_a12,
     author = {F. G. Korablev},
     title = {Graph manifolds genus 2},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {94--100},
     year = {2008},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove one necessary condition for totally orientable graph manifolds genus 2. More precisely, we describe such the set of graphs, that any totally orientable graph manifold genus two is constructed on this graph.

[1] J. Schultens, “Heegaard splittings of graph manifolds”, Geometry and Topology, 8 (2005), 831–876 | DOI | MR

[2] J. Schultens, R. Weidmann, On the Geometric and Algebraic Rank of Graph Manifolds, Preprint, Davis, 2004 | MR

[3] M. Sharlemann, A. Thompson, “Thin position for 3-manifolds”, AMS Contemporary Math., 164 (1994), 231—238 | DOI | MR