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- W3136487923 abstract "Let [Formula: see text] be a weighted oriented graph with the underlying graph [Formula: see text] when vertices with non-trivial weights are sinks and [Formula: see text] be the edge ideals corresponding to [Formula: see text] and [Formula: see text] respectively. We give an explicit description of the symbolic powers of [Formula: see text] using the concept of strong vertex covers. We show that the ordinary and symbolic powers of [Formula: see text] and [Formula: see text] behave in a similar way. We provide a description for symbolic powers and Waldschmidt constant of [Formula: see text] for certain classes of weighted oriented graphs. When [Formula: see text] is a weighted oriented odd cycle, we compute [Formula: see text] and prove [Formula: see text] and show that equality holds when there is only one vertex with non-trivial weight." @default.
- W3136487923 created "2021-03-29" @default.
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- W3136487923 date "2021-03-22" @default.
- W3136487923 modified "2023-09-24" @default.
- W3136487923 title "Symbolic powers in weighted oriented graphs" @default.
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- W3136487923 doi "https://doi.org/10.1142/s0218196721500260" @default.
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