
...on the maximum number of diagonal flips neededfor such a transformation. in this paper we show that any two labelled triangulations canbe transformed into each other using at most o(n log n) diagonal flips. we also show thatfor planar triangulations a linear......

...simultaneous diagonal flips in plane triangulations are investigated. it is proved that every nvertex triangulation with at least six vertices has a simultaneous flip into a 4connected triangulation, and that it can be computed in o(n) time. it follows...

...enumerate two families of rooted planar neartriangulations (2connected, and 2connected...the numbers of flippable edges in a random neartriangulation and strict neartriangulation are sharply concentrated around 5n...

...in this paper, we analyze aeips over triangulations. given a convex quadrilateraldivided into two triangles in the triangulation, a aeip consists in removing the triangleand replacing them...

...abstract—in this paper we study the diagonal flipping problem in three special type triangulations of,(,) vertex convex polygons (and...time algo rithms for computing diagonalflip distances in these three type triangulations (and rotation distance in these three type binary trees...

...algorithms are developed for the diagonal flip transformation of convex polygon triangulations and equivalently
rotation transformation of binary trees. for two arbitrary triangulations in which each vertex is an...interesting lower
bounds on the diagonalflip distance are also established in the analyses of these two...

...way for (23)d triangulations. this diagonal flip is a natural generalisation of the diagonal flip operation in 2d, known as lawson’s procedure. the difference is that the diagonal flip operation in (23)d triangulations may produce selfintersections. we...

...selection of results concerning edge flips in triangulations and planar graphs concentrating mainly on various...setting. we briefly mention results in both settings for flips in graphs embedded in 2dimensional surfaces. we also...

...a derivation in a transformational system such as a graph grammar may be redundant in the sense that the exact...is shown that n(n1ogn) "diagonal flips" are required in the worst case to transform one nvertex numbered triangulated planar graph into some other one...

...the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation....