7 citations · 8 across the 8 of their papers we have counts for
9 papers · 1 filter
Matchings and shape-Wilf-Equivalence of sets of patterns of length three II: Quadruples and Quintuples
Sucharita Biswas, Umesh Shankar, Sivaramakrishnan Sivasubramanian
Building on our classification of shape-Wilf-equivalence classes for triples of patterns of length three, we complete the classification for quadruples and quintuples. The larger p…
Asymmetric Catalan and Shi Hyperplane Arrangements
Sucharita Biswas, Shubhanshu Prasad, Shushma Rani
In this paper, we study the regions of asymmetric extensions of the Catalan and Shi arrangements. We first determine the characteristic polynomials using the finite field method, t…
Families of Shape-Wilf-Equivalent Claw-Shaped Partially Ordered Patterns
Sucharita Biswas
Partially ordered patterns (POPs) generalize classical permutation patterns and have been extensively studied in the contexts of permutations, words, compositions, and partitions.…
Integral quasi-strongly regular Cayley graphs
Sauvik Poddar, Sucharita Biswas, Angsuman Das
Quasi-strongly regular graphs form a significant generalization of strongly regular graphs. We study the eigenvalues of a family of such graphs, , constructed from a finite…
Ordinal and disjoint sums of partially ordered patterns
Sucharita Biswas, Umesh Shankar, Sivaramakrishnan Sivasubramanian
Partially ordered patterns (POPs) generalize the classical notion of permutation patterns within the framework of pattern avoidance. Building on recent work by Burstein, Han, Kitae…
On Automorphism Group of a Family of Symmetric Graphs
Sucharita Biswas
In this paper, we study the automorphism group and geodesic transitivity of a family of vertex-transitive graphs , introduced by Fu-Tao Hu \textit{et.al.} in 2010. In the p…
On Difference of Enhanced Power Graph and Power Graph of a Finite Group
Sucharita Biswas, Peter J. Cameron, Angsuman Das +1
The difference graph of a finite group is the difference of enhanced power graph of and power graph of , with all isolated vertices are removed. In this paper we…
On Perfectness of Annihilating-Ideal Graph of
Manideepa Saha, Sucharita Biswas, Angsuman Das
The annihilating-ideal graph of a commutative ring with unity is defined as the graph with the vertex set is the set of all non-zero ideals with non-zero annih…
A Family of Tetravalent Half-transitive Graphs
Sucharita Biswas, Angsuman Das
In this paper, we introduce a new family of graphs, . We show that it is an infinite family of tetravalent half-transitive Cayley graphs. Apart from that, we determine some…