8 citations · 11 across the 15 of their papers we have counts for
4 papers · 1 filter
Minimal charts of type (3,3)
Teruo Nagase, Akiko Shima
Let be a chart. For each label , we denote by the "subgraph" of consisting of all the edges of label and their vertices. Let be a minimal chart of type $(m…
Separating a chart
Teruo Nagase, Akiko Shima
In this paper, we shall show a condition for that a chart is C-move equivalent to the product of two charts, the union of two charts and which are contained in disks…
Properties of minimal charts and their applications IV: Loops
Teruo Nagase, Akiko Shima
We investigate minimal charts with loops, a simple closed curve consisting of edges of label containing exactly one white vertex. We shall show that there does not exist any lo…
Minimal Charts
Teruo Nagase, Akiko Shima
In this paper, we give definitions of three kinds of minimal charts, and we investigate properties of minimal charts and establish fundamental theorems characterizing minimal chart…