Titlebook: ;

SPURN

https://doi.org/10.1007/978-1-4757-0955-1any reconfiguration. We show that with .(.log .) edge flips and point moves, we can transform any geometric near-triangulation on . points to any other geometric near-triangulation on . possibly different points. This improves the previously known bound of .(..) edge flips and point moves.

动机

Indent

Relinquish

Paul Pop,Wajid Hassan Minhass,Jan Madsengorithms are based on two principles: embedding the state transition graph in a low-dimensional integer lattice and projecting the lattice onto the plane, or drawing the medium as a planar graph with centrally symmetric faces.

空气

sultry

Hexagonal Grid Drawings: Algorithms and Lower Boundse algorithms that achieve 3.5.+3.5 bends for all simple graphs. We also prove optimal lower bounds on the number of bends for .., and give asymptotic lower bounds for graph classes of varying connectivity.

CARK

gospel

Optic-Disk

attenuate

Chuanliang Feng,Xiaoqiu Dou,Yibin XuWe prove that the number of distinct weaving patterns produced by . semi-algebraic curves in ℝ. defined coordinate-wise by polynomials of degrees bounded by some constant ., is bounded by 2., where the implied constant in the exponent depends on .. This generalizes a similar bound obtained by Pach, Pollack and Welzl [3] for the case when .=1.