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• W4214665528 abstract "Let G be a graph on the vertex set [n] and $$J_G$$ the associated binomial edge ideal in the polynomial ring $$S=mathbb {K}[x_1,ldots ,x_n,y_1,ldots ,y_n]$$ . In this paper, we investigate the depth of binomial edge ideals. More precisely, we first establish a combinatorial lower bound for the depth of $$S/J_G$$ based on some graphical invariants of G. Next, we combinatorially characterize all binomial edge ideals $$J_G$$ with $$mathrm {depth} S/J_G=5$$ . To achieve this goal, we associate a new poset $$mathscr {M}_G$$ with the binomial edge ideal of G and then elaborate some topological properties of certain subposets of $$mathscr {M}_G$$ in order to compute some local cohomology modules of $$S/J_G$$ ." @default.
• W4214665528 created "2022-03-02" @default.
• W4214665528 creator A5028240102 @default.
• W4214665528 creator A5084071497 @default.
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• W4214665528 date "2022-03-01" @default.
• W4214665528 modified "2023-10-12" @default.
• W4214665528 title "On the depth of binomial edge ideals of graphs" @default.
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• W4214665528 doi "https://doi.org/10.1007/s10801-021-01072-4" @default.
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