Edge Estimation with Independent Set Oracles

Edge Estimation with Independent Set Oracles

We study the problem of estimating the number of edges in a graph with access to only an independent set oracle. Independent set queries draw motivation from group testing and have applications to the complexity of decision versus counting problems. We give two algorithms to estimate the number of edges in an n-vertex graph: one that uses only polylog(n) bipartite independent set queries, and a...

Plane parameter estimation by edge set matching

A new method for plane hypothesis generation based on a sweeping process is presented. The method is feature based in contradiction to earlier methods which rely on image correlation. The features used are edgel elements (’edgels’) which are extracted in a preprocessing step. The experiments show an improvement in speed as well as in accuracy.

Distance oracles in edge-labeled graphs

A fundamental operation over edge-labeled graphs is the computation of shortest-path distances subject to a constraint on the set of permissible edge labels. Applying exact algorithms for such an operation is not a viable option, especially for massive graphs, or in scenarios where the distance computation is used as a primitive for more complex computations. In this paper we study the problem ...

Constructing Stochastic Pyramids by MIDES - Maximal Independent Directed Edge Set

On Approximability of the Independent/Connected Edge Dominating Set Problems

We investigate polynomial-time approximability of the problems related to edge dominating sets of graphs. When edges are unit-weighted, the edge dominating set problem is polynomially equivalent to the minimum maximal matching problem, in either exact or approximate computation, and the former problem was recently found to be approximable within a factor of 2 even with arbitrary weights. It wil...