By Jin Akiyama, Hiro Ito, Toshinori Sakai

ISBN-10: 3319132865

ISBN-13: 9783319132860

ISBN-10: 3319132873

ISBN-13: 9783319132877

This publication constitutes the completely refereed post-conference lawsuits of the sixteenth eastern convention on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013.

The overall of sixteen papers incorporated during this quantity used to be rigorously reviewed and chosen from fifty eight submissions. The papers characteristic advances made within the box of computational geometry and concentrate on rising applied sciences, new technique and purposes, graph thought and dynamics.

**Read or Download Discrete and Computational Geometry and Graphs: 16th Japanese Conference, JCDCGG 2013, Tokyo, Japan, September 17-19, 2013, Revised Selected Papers PDF**

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**Additional resources for Discrete and Computational Geometry and Graphs: 16th Japanese Conference, JCDCGG 2013, Tokyo, Japan, September 17-19, 2013, Revised Selected Papers**

**Example text**

Vn } be a non-degenerated component. Then, each solution for P requires at least µ(P ) = C P + DP + E P + 2F P cuts. Decomposing Octilinear Polygons into Triangles and Rectangles 27 Algorithm 1. Decomposing a non-degenerated component 1 2 3 4 5 6 7 8 9 10 11 12 13 Data: a non-degenerated component P = {v1 , v2 , . . , vn } Result: a decomposition of P into basic components foreach vertex vi of type d, e and f do divide the angle at vi by a cut that prolongs an edge incident to vi ; /* according to the proof of Theorem 3, at the end of this step, P is optimally decomposed into convex components */ end while there are convex components with at least 5 vertices do take a convex component C with at least 5 vertices; foreach vertex vi of type c do decompose C by using a nice-cut [vi , p] ; /* according to Lemma 6, there exists such a cut in C */ end end foreach convex component C with 4 vertices and diﬀerent from a rectangle do decompose C ; end return the set of all the obtained basic components Remark 1.

Fundamenta Informaticae 2, 245–260 (1979) 30 S. Cicerone and G. Di Stefano 15. : Modeling and transient Simulation of planes in electronic packages. IEEE Trans. Adv. Packag. 23(3), 340–352 (2000) 16. : Minimum dissection of rectilinear regions. In: IEEE International Symposium on Circuits and Systems (1982) 17. : Power distribution networks for system-on-package: status and challenges. IEEE Trans. Adv. Packag. 27(2), 286–300 (2004) On Wrapping Spheres and Cubes with Rectangular Paper Alex Cole1(B) , Erik D.

Phys. Eng. Sci. 455, 4131–4143 (1999) 9. : New Mathematical Diversions, Chapter 5: Paper Cutting, pp. 58–69. Simon and Schuster, New York (1966) 10. : R´ecr´eations Math´ematiques et Physiques, pp. 297–302. A. Jombert (1790) 11. : Covering a sphere by equal circles, and the rigidity of its graph. Math. Proc. Camb. Philos. Soc. fi Abstract. A shortest path joining two speciﬁed endpoint conﬁgurations that is constrained to have mean curvature at most ς on every non-zero length sub-path is called a ς-geodesic.

### Discrete and Computational Geometry and Graphs: 16th Japanese Conference, JCDCGG 2013, Tokyo, Japan, September 17-19, 2013, Revised Selected Papers by Jin Akiyama, Hiro Ito, Toshinori Sakai

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