Computing Severi degrees with long-edge graphs
We study a class of graphswith finitelymany edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatorial terms. These graphs are related to floor diagrams associated to plane tropical curves originally developed in  and used in  and  to calculate Severi degrees of ℙ2 and node polynomials of plane curves.
Block, F., Susan Jane Colley, and G. Kennedy. December 2014. “Computing Severi degrees with long-edge graphs.” Bulletin of Brazilian Mathematical Society, New Series 45(4): 625–647.
Springer Berlin Heidelberg
Bulletin of Brazilian Mathematical Society
Floor diagram, Node polynomial, Severi degree, Tropical plane curve, Primary: 14N10, Secondary: 14T05, 14N35, 05A99