Some algebraic invariants of ideals associated with graph families

Hafsa Bibi, Hanni Garminia, . Irawati, Asia Rauf, Um- E- Aimen

Abstract


In this article, we study some algebraic invariants of monomial ideals associated with graphs. Specifically, we compute the depth and Stanley depth of edge ideals arising from sunlet graphs, cycle-related graphs, and wheel-related graphs. In addition, we show that the path ideal of length two in centipede-related graphs satisfies both the persistence and strong persistence properties.

Keywords


depth; Stanley depth; persistence property; strong persistence property; edge ideals

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DOI: http://dx.doi.org/10.5614/ejgta.2026.14.2.5

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