Name
Title | ||
|---|---|---|
An adapted version of the Bentley-Ottmann algorithm for invariants of plane curves singularities |
Abstract | ||
|---|---|---|
We report on an adapted version of the Bentley-Ottmann algorithm for computing all the intersection points among the edges of the projection of a three-dimensional graph. This graph is given as a set of vertices together with their space Euclidean coordinates, and a set of edges connecting them. More precisely, the three-dimensional graph represents the approximation of a closed and smooth implicitly defined space algebraic curve, that allows us a simplified treatment of the events encountered in the Bentley-Ottmann algorithm. As applications, we use the adapted algorithm to compute invariants for each singularity of a plane complex algebraic curve, i.e. the Alexander polynomial, the Milnor number, the delta-invariant, etc. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/978-3-642-21931-3_10 | ICCSA (3) |
Keywords | Field | DocType |
plane complex algebraic curve,three-dimensional graph,space algebraic curve,milnor number,alexander polynomial,plane curves singularity,bentley-ottmann algorithm,intersection point,space euclidean | Strength of a graph,Mathematical optimization,Combinatorics,Path (graph theory),Algebraic curve,Plane curve,Algebraic graph theory,Mathematics,Planar graph,Complement graph,Topological graph | Conference |
Volume | ISSN | Citations |
6784 | 0302-9743 | 3 |
PageRank | References | Authors |
0.42 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mădălina Hodorog | 1 | 19 | 3.43 |
| Bernard Mourrain | 2 | 1074 | 113.70 |
| Josef Schicho | 3 | 121 | 21.43 |