Abstract. This paper addresses the problem of segmenting an image into regions. We define a predicate for measuring the evidence for a boundary between two regions using a graph-based representation of the image. We then develop an efficient segmentation algorithm based on this predicate, and show

An edge coloring of a multigraph is nearly equitable if, among the edges incident to each vertex, the numbers of edges colored with any two colors differ by at most two. It has been proved that the problem of finding a nearly equitable edge coloring can be solved in O(m 2 /k) time, where m and k

efficient algorithms for computing the Hausdorff distance between all possible relative positions of a binary image and a model. We focus primarily on the case in which the model is only allowed to translate with respect to the image. Then we consider how to extend the techniques to rigid motion

the function on instances of its choice. First, we establish some connections between property testing and problems in learning theory. Next, we focus on testing graph properties, and devise algorithms to test whether a graph has properties such as being k-colorable or having a ae-clique (clique of density ae

We discuss the nearly equitable edge coloring problem on a multigraph and propose an ecient algorithm for solving the problem, which has a better time complexity than the previous algorithms. The coloring computed by our algorithm satises additional balanced conditions on the number of edges used

properties admit an -test. In this paper we make a first step towards a logical characterization of all testable graph properties, and show that properties describable by a very general type of coloring problem are testable. We use this theorem to prove that first order graph properties not containing a

are fixed-size and the network is complete. The direct migration problem is closely related to edge-coloring. However, because there are space constraints on the devices, the problem is more complex. Our main results are polynomial time algorithms for finding a near-optimal migration plan in the presence

Given a multigraph G = (V,E) with n vertices andm edges and a color set C = {1, 2,..., k}, the nearly equitable edge coloring is an assignment of given colors to edges in G such that, among the edges incident to each vertex, the num-

Problems such as bisection, graph coloring, and clique are generally believed hard in the worst case. However, they can be solved if the input data is drawn randomly from a distribution over graphs containing acceptable solutions. In this paper we show that a simple spectral algorithm can solve all

An equitable k-coloring of an undirected graph G = (V,E) is a partition of its vertices into k disjoint independent sets, such that the cardinalities of any two in-dependent sets differ by at most one. As a variant of the graph coloring problem (GCP), the equitable coloring problem (ECP) concerns