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- W4302183485 abstract "We consider two problems regarding vanishing patterns in the Betti table of edge ideals $I$ in polynomial algebra $S$. First, we show that the $j$-strand is connected if $j=3$ (for $j=2$ this is easy and known), and give examples where the $j$-strand is not connected for any $j>3$. Next, we apply our result on strand connectivity to establish the subadditivity conjecture for edge ideals, $t_{a+b}leq t_a+t_b$, in case $b=2,3$ (the case $b=1$ is known). Here $t_i$ stands for the maximal shifts in the minimal free $S$-resolution of $S/I$" @default.
- W4302183485 created "2022-10-06" @default.
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- W4302183485 date "2015-10-28" @default.
- W4302183485 modified "2023-10-16" @default.
- W4302183485 title "On vanishing patterns in $j$-strands of edge ideals" @default.
- W4302183485 doi "https://doi.org/10.48550/arxiv.1510.08192" @default.
- W4302183485 hasPublicationYear "2015" @default.
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