Unmixed and Cohen–Macaulay Weighted Oriented K?nig Graphs

نویسندگان

چکیده

Let D be a weighted oriented graph, whose underlying graph is G , and let I (D) its edge ideal. If has no 3-, 5-, or 7-cycles, K?nig, we characterize when unmixed. 3- 5-cycles, Cohen–Macaulay. We prove that unmixed if only Cohen–Macaulay girth greater than 7 K?nig 4-cycles.

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ژورنال

عنوان ژورنال: Studia Scientiarum Mathematicarum Hungarica

سال: 2021

ISSN: ['0081-6906', '1588-2896']

DOI: https://doi.org/10.1556/012.2021.58.3.1499