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Open AccessJournal ArticleDOI

On the diameter of the edge cover polytope

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TLDR
Adjacency of edge covers on the edge cover polytope of a graph G = (V, E, E) is characterized, and it is derived that the diameter of the edgecoverPolytope is equal to |E| − ϱ(G), where ϱ (G) is the minimum size of an edge cover.
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This article is published in Journal of Combinatorial Theory, Series B.The article was published on 1991-03-01 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Edge cover & Adjacency list.

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Book ChapterDOI

A Tutorial on Image Analysis

TL;DR: There is an expectation that technological advances should soon provide solutions to problems such as automatic face or hand recognition, or unsupervised robotic vision.
Journal ArticleDOI

Interdicting Structured Combinatorial Optimization Problems with {0, 1}-Objectives

TL;DR: This work suggests a general method to obtain pseudoapproximations for many interdiction problems, and presents a PTAS for interdicting b-stable sets in bipartite graphs that can handle submodular interdictions costs when the underlying problem is to find a maximum weight independent set in a matroid.
Proceedings ArticleDOI

Semi-automatic medical image segmentation with adaptive local statistics in Conditional Random Fields framework

TL;DR: A semi-automatic and accurate segmentation method by giving a user an intuitive graphical interface to indicate samples of target and non-target tissue by loosely drawing a few brush strokes on the image to provide the statistical input for a Conditional Random Field (CRF) based segmentation.
Proceedings ArticleDOI

The Diameter of the Fractional Matching Polytope and Its Hardness Implications

TL;DR: In this article, it was shown that the problem of computing the diameter of a polytope is strongly NP-hard even for a simple structure, namely, the fractional matching polytopes, and also that computing a pair of vertices at maximum shortest path distance on the 1-skeleton of this polytoope is an APX-hard problem.
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