What is graph triangulation?

A triangulated graph is a graph in which for every cycle of length ℓ > 3, there is an edge joining two nonconsecutive vertices. In this paper we study triangulated graphs and show that they play an important role in the elimination process.

What is Y monotone?

Definition (y-monotone polygon) A polygon P is y-monotone if for any line l perpendicular to the y-axis the intersection P n l is connected. A strictly y-monotone polygon has no horizontal edges. We will assume our polygons are strictly y-monotone.

How do you triangulate a shape?

1) For each vertex in the polygon, compute the angle between the two linked edges. 2) Sort vertices by decreasing angle relative to the interior of the polygon. 3) If there is less than 3 vertices in the set, we’re done. 4) Take the last vertex in the set and output the triangle formed by it and its two neighbours.

What is triangulation data collection?

Data triangulation is where the researcher uses two or more methods for the verification of the findings and results. Data triangulation is also called cross examination because it double or even triple checks the results obtained from the research.

What is triangulation design in research?

Triangulation in research means using multiple datasets, methods, theories and/or investigators to address a research question. It’s a research strategy that can help you enhance the validity and credibility of your findings.

How many ways can you triangulate a polygon?

The 42 possible triangulations for a convex heptagon (7-sided convex polygon).

How many triangles are in a triangulation?

The triangulation consists of 16 triangles that share 14 vertices, 10 of which lie on the boundary of D . To facilitate discussions we have to introduce some notation and language: T is the triangulation, i.e., the set of triangles.