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In this correspondence an algebraic method of finding the maximum compatibility classes has been described. The two element incompatibles are expressed in the "sum of product" form and a function is obtained which is defined as the incompatibility function. The dual of the incompatibility function is realized, enabling us to obtain the maximum compatibility classes.
Flow table, incompatibility function, maximum compatibility classes, states of a flow table, two element incompatibles.

"On the Determination of the Maximum Compatibility Classes," in IEEE Transactions on Computers, vol. 18, no. , pp. 665, 1969.
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