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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 them t h    -power of a wheel graph, form ≥ 3    , gear graphs and anti-web gear graphs.

Stanley Depth of Edge Ideals of Some Wheel-Related Graphs