The Zagreb indices of graphs with a given clique number

AbstractFor a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. Let Wn,k be the set of connected n-vertex graphs with clique number k. In this work we characterize the graphs from Wn,k with extremal (maximal and minimal) Zagreb indices, and determine the values of corresponding indices

Radiographic assessment of calcifying tendinitis of the rotator cuff : an inter- and intraobserver study

The radiographic appearance of calcific tendinitis of the rotator cuff varies according to the stage of the disease. We compared currently used classification systems in a large group of observers to identify the most reliable classification system. Thirty-seven orthopaedic surgeons evaluated shoulder radiographs of 25 patients to classify the stage of the calcific tendinitis according to the classifications by (1) Gärtner and (2) Molé on a Web-based study platform. Inter and intraobserver agreement among observers was measured using the Siegel and Castellan multirater κ. Both classification systems had fair interobserver agreement : κ was 0.25 for the Molé classification and 0.34 for the Gärtner classification. The Gärtner classification was significantly more reliable than the Molé classification. Currently there is no radiographic classification that can serve the purpose of guiding the treatment in a reliable way