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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Hafsa Bibi
Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung, Indonesia
Electrical & Electronics Engineering

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Some algebraic invariants of ideals associated with graph families Hafsa Bibi; Hanni Garminia; . Irawati; Asia Rauf; Um- E- Aimen
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 14, No 2 (2026): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2026.14.2.5

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.
Co-Authors . Irawati Asia Rauf Hanni Garminia Um- E- Aimen