Application of Tolerance Graphs to Combat COVID-19 Pandemic

Abstract

Tolerance graphs were introduced in 1982 by Golumbic and Monma as a generalization of interval graphs. In this paper, we propose several applications of tolerance graphs in fighting COVID-19. These applications include finding cliques of a certain size, and calculating the chromatic number of a graph, the problems that are in general NP-complete but for tolerance graphs can be solved in polynomial time.