6 citations · 27 across the 27 of their papers we have counts for
34 papers
Certain Homological Invariants of Bipartite Kneser Graphs
Ajay Kumar, Pavinder Singh, Rohit Verma
In this paper, we obtain a combinatorial formula for computing the Betti numbers in the linear strand of edge ideals of bipartite Kneser graphs. We deduce lower and upper bounds fo…
Local operator system structures and their tensor products
Surbhi Beniwal, Ajay Kumar, Preeti Luthra
We introduce and explore the theory of tensor products in the category of local operator systems. Analogous to minimal operator system OMIN and maximal operator system OMAX, minima…
Estimates for initial coefficients of certain bi-univalent functions
Vibha Madaan, Ajay Kumar, V. Ravichandran
Estimates are obtained for the initial coefficients of a normalized analytic function in the unit disk such that and the analytic extension of to $\ma…
Herzog, Hibi and Ohsugi conjecture for trees
Ajay Kumar, Rajiv Kumar
Let be a polynomial ring, where is a field, and be a simple graph on vertices. Let be the vertex cover ideal of…
Radii of Starlikeness and Convexity of Bessel Functions
Vibha Madaan, Ajay Kumar, V. Ravichandran
The radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, for , have been determined for normaliz…
Regularity, Rees algebra and Betti numbers of certain cover ideals
Ajay Kumar, Rajiv Kumar
Let be a polynomial ring, where is a field. This article deals with the defining ideal of the Rees algebra of squarefree monomial ideal genera…