Stanley Depth of Edge Ideals of Some Wheel-Related Graphs

Jia-Bao Liu, Mobeen Munir, Raheel Farooki, Muhammad Imran Qureshi and Quratulien Muneer
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Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Mobeen Munir: Department od Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Raheel Farooki: Department od Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Muhammad Imran Qureshi: Department of Mathematics, COMSATS University Islamabad, Vehari Campus 61100, Pakistan
Quratulien Muneer: Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan

Mathematics, 2019, vol. 7, issue 2, 1-12

Abstract: Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs. In particular, we establish general closed formulas for Stanley depth of quotient of edge ideals associated with the m t h -power of a wheel graph, for m ≥ 3 , gear graphs and anti-web gear graphs.

Keywords: stanley depth; edge ideal; mth -power of wheel graph; gear graph; anti-web gear graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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