Authors: Dainis Zeps
Comments: 14 pages
We consider combinatorial maps with fixed combinatorial knot numbered with
augmenting numeration called normalized knot. We show that knot's normalization
doesn't affect combinatorial map what concerns its generality. Knot's normalization
leads to more concise numeration of corners in maps, e.g., odd or even corners allow
easy to follow distinguished cycles in map caused by the fixation of the knot.
Knot's normalization may be applied to edge structuring knot too. If both are
normalized then one is fully and other partially normalized mutually.
Category: Combinatorics and Graph Theory