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The irregularity of a graph can be defined by different so-called graph topological indices. In this paper, we consider the irregularities of graphs with respect to the Collatz-Sinogowitz index , the variance of the vertex degrees , the irregularity of a graph , and the total irregularity of a graph . It is known that these irregularity measures are not always compatible. Here, we investigate the problem of determining pairs or classes of graphs for which two or more of the abovedoi:10.12700/aph.25.04.2014.04.4 fatcat:w457qtrimvdxremwmke7af3tve