A Maximum Cut Approximation Algorithm for Tracheostomy
Journal Title: Biomedical Journal of Scientific & Technical Research (BJSTR) - Year 2019, Vol 18, Issue 5
Abstract
In this note, is presented a computational approach for analysis of a tracheostomy procedure, one which is performed in critically ill patients, and its monitoring is important, since a prolonged mechanical ventilation for respiratory failure and airway issues must be performed. The MAX-CUT problem is one of the basic and most prominent problems in Approximation Algorithms, due mainly to its large connection with other optimization problems and their application in different domains, such as Data Mining, Critical Resource Allocation, among others. A graph G with vertex set V, and edge set E is given, and we want to partition it, in such a way that there should be the maximum number of edges between some set of vertices S and its complement V – S. Based on recent studies of randomized trail [1], it is considered necessary to wait for 10 days before a patient should be considered for mechanical ventilation. Since, complications are related to tracheostomies, such as: pneumothorax, bleeding, vocal cord dysfunction, etc., the performance of the surgery, and the selection of ill patients suitable for it, has been a relevant topic of debate.
Authors and Affiliations
Nedev Roumen
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