Extended abstracts listed by author > Liu Fu

Based on results by Brugall´e and Mikhalkin, Fomin and Mikhalkin give formulas for computing classical
Severi degrees Nd; using long-edge graphs. In 2012, Block, Colley and Kennedy considered the logarithmic version
of a special function associated to long-edge graphs which appeared in Fomin-Mikhalkin's formula, and conjectured
it to be linear. They have since proved their conjecture. At the same time, motivated by their conjecture, we consider
a special multivariate function associated to long-edge graphs that generalizes their function. The main result of this
paper is that the multivariate function we define is always linear.