On Structural Characterization and Computation of the Diameter and Girth of Bipartite Gap Poset Graphs with Python Application.
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| Názov: | On Structural Characterization and Computation of the Diameter and Girth of Bipartite Gap Poset Graphs with Python Application. |
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| Autori: | Mehtab, Maria, Binyamin, Muhammad Ahsan, Asghar, Syed Sheraz, Alali, Amal S., Mehmood, Khawar |
| Zdroj: | Axioms (2075-1680); Sep2025, Vol. 14 Issue 9, p669, 16p |
| Predmety: | BIPARTITE graphs, DIAMETER, PYTHON programming language, SEMIGROUP algebras, MATHEMATICS, GRAPH theory |
| Abstrakt: | In this article, a correspondence between some important classes of numerical semigroups and well-known families of bipartite graphs has been established. Also, it has been demonstrated that, if m (S) is the multiplicity of a numerical semigroup S , then the diameter and the girth of bipartite gap poset graphs are bounded by the numbers 2 m (S) − 3 and m (S) − 1 , respectively. Moreover, the Python code to compute the diameter and girth of gap poset graphs has been implemented. [ABSTRACT FROM AUTHOR] |
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| Databáza: | Complementary Index |
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