COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
Forbidden substructure theorems have proved to be among of the most versatile tools in bounding the complexity of geometric objects and the running time of geometric algorithms. T...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
Many real-world data sets can be viewed of as noisy samples of special types of metric spaces called metric graphs [16]. Building on the notions of correspondence and GromovHausdo...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
A graph G is a k-sphere graph if there are k-dimensional real vectors v1, . . . , vn such that ij ∈ E(G) if and only if the distance between vi
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
Several recent works considered cooperative cleaning in static and dynamic environments, which incorporates a swarm of simple robots cleaning an expanding region of contaminated c...
COMPGEOM
2011
ACM
13 years 3 months ago
2011
ACM
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...