Analysis reveals Hasse diagrams for basic blocks containing four comparable reducible elements, highlighting their nullity.
In 2020, Bhavale and Waphare introduced the concepts of fundamental basic block and basic block. Further, Bhavale and Waphare have provided the recursive formulae of the number of non-isomorphic fundamental basic blocks as well as basic blocks, containing r comparable reducible elements and having nullity l. With the help of those formulae, Bhavale et al. obtained the Hasse diagrams of all non-isomorphic basic blocks containing up to four comparable reducible elements and having nullity up to five. In this paper, we actually obtain the Hasse diagrams of the basic blocks containing four comparable reducible elements and having nullity six.
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Bhavale et al. (2025) studied this question.
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