Given a surface triangulation T of and a subset X of its vertex set V (T), we define a restricted edge contraction as a contraction of an edge connecting X and V (T)−X. Boundar...
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend during the course of the morph. The morph uses a polynomial ...
A Laman mechanism is a flexible planar bar-and-joint framework with m ≤ 2n−3 edges and exactly k = 2n− m degrees of freedom. The slider-pinning problem is to eliminate all ...
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
For every n, we construct two arcs in the four-punctured sphere that have at least n intersections and which do not form spirals. This is accomplished in several steps: we first ...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if for every pair of points p = (x(p), y(p), z(p)) and q = (x(q), y(q), z(q)) on th...
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Given a disk O in the plane called the objective, we want to find n small disks P1, . . . , Pn called the pupils such that n i,j=1 Pi Pj ⊇ O, where denotes the Minkowski diffe...
In this paper, we study a Steiner tree related problem called “Terminal Steiner Tree with Bounded Edge Length”: given a set of terminal points P in a plane, one is asked to ...