4 papers
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 of a general class of Catalan an…
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.…
An integral family of 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 finit…
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…