
\begin {thebibliography}{EGAIV}
\bibitem [AC]{AC} E. Arbarello, M. Cornalba, \textsl{Combinatorial and
algebro-geometric cohomology classes on the moduli spaces of curves}, J. Alg.\ Geom.\
\textbf{5} (1996), 705--749.
\bibitem [AR]{AR} L. Allermann, J. Rau, \textsl{First steps in tropical
  intersection theory}, Math.\ Z.\ \textbf {264} (2010), 633--670.
\bibitem [B]{B} K. Behrend, \textsl{Gromov-Witten invariants in algebraic
  geometry}, Inv.\ Math.\ \textbf {127} (1997), no.\ 3, 601--617.
\bibitem [BJSST]{BJSST} T. Bogart, A. Jensen, D. Speyer, B. Sturmfels,
  R. Thomas, \textsl{Computing tropical varieties}, J. Symb.\ Comput.\ \textbf
  {42} (2007), no.\ 1--2, 54--73.
\bibitem [EGAIV]{EGA} A. Grothendieck, \textsl{\'{E}l\'{e}ments de
  g\'{e}om\'{e}trie alg\'{e}brique IV: \'{E}tude locale des sch\'{e}mas et des
  morphismes de sch\'{e}mas}, Publ.\ Math. de l'IH\'{E}S \textbf {28} (1966).
\bibitem [FP]{FP} W. Fulton, R. Pandharipande, \textsl {Notes on stable maps
  and quantum cohomology}, Proc.\ Symp.\ Pure Math.\ \textbf {62} (1997) part
  2, 45--96.
\bibitem [GM1]{GM1} A. Gathmann, H. Markwig, \textsl{The numbers of tropical
  plane curves through points in general position}, J. Reine Angew.\ Math.\
  \textbf {602} (2007), 155--177. 
\bibitem [GM2]{GM2} A. Gathmann, H. Markwig, \textsl{Kontsevich's formula and
  the WDVV equations in tropical geometry}, Adv.\ in Math.\ \textbf {217}
  (2008), 537--560.
\bibitem [GKM]{GKM} A. Gathmann, M. Kerber, H. Markwig, \textsl{Tropical fans
  and the moduli spaces of tropical curves}, Compos.\ Math.\ \textbf {145}
  (2009), no.\ 1, 173--195.
\bibitem [H]{H} M. Herold, \textsl{Intersection theory of the tropical moduli
  spaces of curves}, Diploma thesis, TU Kaisers\-lautern (2007),

  \texttt {https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/3276}.
\bibitem [JMM]{JMM} A. N. Jensen, H. Markwig, T. Markwig, \textsl{An algorithm for lifting
points in a tropical variety}, Collect.\ Math.\ \textbf{59} (2008), no.\ 2, 129--165.
\bibitem [K]{K} S. Keel, \textsl{Intersection theory of moduli space of stable
  $N$-pointed curves of genus zero}, Trans.\ Amer.\ Math.\ Soc.\ \textbf {330}
  (1992), no.\ 2, 545--574.
\bibitem [KM]{KM} M. Kerber, H. Markwig, \textsl{Intersecting Psi-classes on
  tropical $\M_{0,n}$}, Int.\ Math.\ Res.\ Not.\ (2009), 221--240.
\bibitem [K1]{K1} F. Knudsen, \textsl{The projectivity of the moduli space of stable
curves. II}, Math.\ Scand.\ \textbf{52} (1983),  161--199.
\bibitem [K2]{K2} F. Knudsen, \textsl{The projectivity of the moduli space of stable
curves. III}, Math.\ Scand.\ \textbf{52} (1983),  200--212.
\bibitem [KoM]{KoM} M. Kontsevich, Y. Manin, \textsl{Relations between the correlators of
the topological sigma-model coupled to gravity}, Commun.\ Math.\ Phys.\ \textbf{196}
(1998), 385--398.
\bibitem [L]{L} S. Lang, \textsl {Algebra}, Springer Graduate Texts in
  Mathematics, New York (2002).
\bibitem [M]{M} G. Mikhalkin, \textsl {Moduli spaces of rational tropical curves},
  Proceedings of Gökova Geometry-Topology Conference GGT 2006 (2007), 39--51.
\bibitem [MR]{MR} H. Markwig, J. Rau, \textsl{Tropical descendant Gromov-Witten
  invariants}, Manuscr.\ Math.\ \textbf {129} (2009), no.\ 3, 293--335. 
\bibitem [R]{R} J. Rau, \textsl {Intersections on tropical moduli spaces},
  preprint (2008).
\bibitem [SS]{SS} D. Speyer, B. Sturmfels, \textsl{The tropical Grassmannian},
  Adv.\ in Geom.\ \textbf {4} (2004), 389--411.
\bibitem [vdW]{vdW} B. van der Waerden, \textsl{Algebra, Volume II}, Springer,
  New York (1991).

\end{thebibliography}

