Application of Tolerance Graphs to Combat COVID-19 Pandemic

SN Comput Sci. 2021;2(2):83. doi: 10.1007/s42979-021-00462-6. Epub 2021 Feb 8.


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.

Keywords: Chromatic number; Clique; Pandemic; Perfect graph; Tolerance graph.