Stanley Depth of Edge Ideals of Some Wheel-Related Graphs
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Department od Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Department of Mathematics, COMSATS University Islamabad, Vehari Campus 61100, Pakistan
Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
Author to whom correspondence should be addressed.
Received: 28 December 2018 / Revised: 4 February 2019 / Accepted: 6 February 2019 / Published: 21 February 2019
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
-power of a wheel graph, for
, gear graphs and anti-web gear graphs.
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MDPI and ACS Style
Liu, J.-B.; Munir, M.; Farooki, R.; Imran Qureshi, M.; Muneer, Q. Stanley Depth of Edge Ideals of Some Wheel-Related Graphs. Mathematics 2019, 7, 202.
Liu J-B, Munir M, Farooki R, Imran Qureshi M, Muneer Q. Stanley Depth of Edge Ideals of Some Wheel-Related Graphs. Mathematics. 2019; 7(2):202.
Liu, Jia-Bao; Munir, Mobeen; Farooki, Raheel; Imran Qureshi, Muhammad; Muneer, Quratulien. 2019. "Stanley Depth of Edge Ideals of Some Wheel-Related Graphs." Mathematics 7, no. 2: 202.
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