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Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs

Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs

In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.