2013/03/21 by Florian Block, Block, Florian, Susan Jane Colley +3 · 1 citation
Computer Science · Mathematics · Engineering · #Polynomial and algebraic computation #Commutative Algebra and Its Applications #Advanced Numerical Analysis Techniques
paper · pdf · doi:10.48550/arxiv.1303.5308
We study a class of graphs with finitely many 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 by Brugalle and Mikhalkin, and used by Block, Fomin, and Mikhalkin to calculate Severi degrees of the projective plane and node polynomials of plane curves.