The authors report two cases of isolated, undisplaced, fractures of the trapezoid bone. Because of its well-protected position in the wrist, traumatic lesions of the trapezoid bone are rare. Dislocation of the trapezoid has been reported in 30 patients; fractures are seen even less frequently and usually go with dorsal displacement. To our knowledge and based on a Medline literature review, onl...

Trapezoid graphs are the intersection graphs of trapezoids,where every trapezoid has a pair of opposite sides lying on two parallel lines L1 and L2 of the plane. This subclass of perfect graphs has received considerable attention as it generalizes in a natural way both interval and permutation graphs. In particular, trapezoid graphs have been introduced in order to generalize some well known ap...

Trapezoid fractures are relatively rare upper limb fractures. The case report of a trapezoid stress fracture in the dominant hand of a 22 year old international standard shot-putter is presented.

We show that the minimum fill-in and the minimum interval graph completion of a d-trapezoid graph can be computed in time O(n). We also show that the treewidth and the pathwidth of a d-trapezoid graph can be computed by an O(n tw(G) ) time algorithm. For both algorithms, d is supposed to be a fixed positive integer and it is required that a suitable intersection model of the given d-trapezoid g...

Abstract The purpose of this paper is to extend the TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method for solving multiple attribute decision making (MADM) problems with trapezoid fuzzy linguistic variables. To begin with, this paper introduces the concept of the trapezoid fuzzy linguistic variables, and defines the distance between two trapezoid fuzzy linguistic v...

Consider two parallel lines (denoted r1 and r2). A graph is a PI graph (Point-Interval graph) if it is an intersection graph of a family F of triangles between r1 and r2 such that each triangle has an interval with two endpoints on r1 and a vertex (a point) on r2. The family F is the PI representation of G. The PI graphs are an extension of interval and permutation graphs and they form a subcla...

An algorithm that decomposes a line image into singular and regular regions is presented. We define a contour trapezoid as the building block of regular regions, and postulate a Maximal Trapezoid Set as the core of regular regions. Then, we describe an algorithm that calculates a Maximal Trapezoid Set of a polygon and show how to use it to find a skeleton of a polygonal approximation of a conto...

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