6 papers
All -transitive groups satisfy the strict-EKR property
Venkata Raghu Tej Pantangi
A subset of a transitive permutation group is said to be an intersecting set if, for every , there is an such that $g_{1}…
Erdős-Ko-Rado problems for permutation groups
Cai Heng Li, Shu Jiao Song, Venkata Raghu Tej Pantangi
In this paper, we study intersecting sets in primitive and quasiprimitive permutation groups. Let be a transitive permutation group, and an inte…
Some formulae for coefficients in restricted -products
Ankush Goswami, Venkata Raghu Tej Pantangi
In this paper, we derive some formulae involving coefficients of polynomials which occur quite naturally in the study of restricted partitions. Our method involves a recently disco…
On sums of coefficients of polynomials related to the Borwein conjectures
Ankush Goswami, Venkata Raghu Tej Pantangi
Recently, Li obtained an asymptotic formula for a certain partial sum involving coefficients for the polynomial in the First Borwein conjecture. As a consequence, he showed the pos…
Difference families, skew Hadamard matrices, and Critical groups of doubly regular tournaments
Venkata Raghu Tej Pantangi
In this paper we investigate the structure of the critical groups of doubly regular tournaments (DRTs) associated with skew Hadamard difference families (SDFs) with one, two, or fo…
Critical groups of van Lint-Schrijver Cyclotomic Strongly Regular Graphs
Venkata Raghu Tej Pantangi
The \emph{critical} group of a finite connected graph is an abelian group defined by the Smith normal form of its Laplacian. Let be a power of a prime and be a multiplicati…