Graph with respect to superfluous elements in a lattice
نویسندگان
چکیده
We consider superfluous elements in a bounded lattice with 0 and 1, introduce various types of graphs associated these elements. The notions such as element graph (S(L)), join intersection (JI(L)) lattice, distributive (SI(L)) are defined. Dual atoms play an important role to find connections between the lattice-theoretic properties those corresponding graph-theoretic properties. Consequently, we derive some equivalent conditions involving cardinality dual lattice. provide necessary illustrations investigate diameter, girth, cut vertex graphs.
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2022
ISSN: ['1586-8850', '1787-2405', '1787-2413']
DOI: https://doi.org/10.18514/mmn.2022.3620