3 papers
math.AC2025
Waldschmidt constant of monomial ideals and Simis ideals
Bijender, Ajay Kumar
In 2017, Cooper et al. proposed a conjecture providing a lower bound for the Waldschmidt constant of monomial ideals. We confirm this conjecture for some classes of monomial ideals…
math.AC2023
Vertex cover ideals of simplicial complexes
Bijender, Ajay Kumar
Given a simplicial complex , we investigate how to construct a new simplicial complex such that the corresponding monomial ideals satisfy nice algebraic properties. We g…
math.AC2023
Powers of vertex cover ideals of Simplicial Trees
Bijender, Ajay Kumar, Rajiv Kumar
In , Herzog, Hibi, and Ohsugi conjectured that if is the cover ideal of a chordal graph, then is componentwise linear for all In 2022, Hà and Tuyl consid…