2 papers
math.CO2024
Weighted sums of rooted spanning forests on cycles with pendant edges
Hajime Fujita, Kimiko Hasegawa, Yukie Inaba +1
We derive two formulas for the weighted sums of rooted spanning forests of particular sequence of graphs by using the matrix tree theorem. We consider cycle graphs with edges so ca…
math.HO2017
Maximum genus of the Jenga like configurations
Rika Akiyama, Nozomi Abe, Hajime Fujita +4
We treat the boundary of the union of blocks in the Jenga game as a surface with a polyhedral structure and consider its genus. We generalize the game and determine the maximum gen…