| Autor: |
Khanra, Biswaranjan, Mandal, Manasi |
| Předmět: |
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| Zdroj: |
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2023, Vol. 69 Issue 2, p193-217, 25p |
| Abstrakt: |
In this article, we consider the inclusion ideal graph In(S) of nontrivial right ideals of a semigroup S with zero element. We characterize a semigroup S for which the graph In(S) is complete, connected and also find various graph parameters of In(S). We determine the values of n for which the graph In(Zn) is complete, triangulated, split, unicyclic, thresold and also study minimal embedding of In(Zn) into compact orientable (resp. non-orientable) surface. We give both upper and lower bouds for metric and partition dimension of inclusion ideal graph of a completely 0-simple semigroup. Finally, we compute some graph parameters of the cartesian product of inclusion ideal graph of two monoids. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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