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3 papers
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…
Bounds for the Minimum Distance Function
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Let be a homogeneous ideal in a polynomial ring . In this paper, we extend the study of the asymptotic behavior of the minimum distance function of and give bounds…
Unmixed and Cohen--Macaulay weighted oriented König graphs
Yuriko Pitones, Enrique Reyes, Rafael H. Villarreal
Let be a weighted oriented graph, whose underlying graph is , and let be its edge ideal. If has no -, -, or -cycles, or is König, we characterize whe…