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math.AC2026
Symbolic Rees algebras of complementary edge ideals
Antonino Ficarra, Somayeh Moradi, Yuji Muta
Let be a finite simple graph on and let denote its complementary edge ideal in the polynomial ring . We give a combinatorial description, i…
math.AC2026
-neighborhood ideals of graphs
Somayeh Moradi, Leila Sharifan
In this paper, we introduce and investigate the -neighborhood ideal of a graph, a natural generalization of the closed neighborhood ideal. Let be a simple graph on…
math.AC2026
On homological invariants and Cohen-Macaulayness of closed neighborhood ideals
Somayeh Moradi, Leila Sharifan
Let be a finite simple graph and be the closed neighborhood ideal of in the polynomial ring . In this paper, we study the Castelnuovo-Mumford regularity,…