5 citations · 9 across the 15 of their papers we have counts for
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A branch statistic for trees: Interpreting coefficients of the characteristic polynomial of braid deformations
Priyavrat Deshpande, Krishna Menon
A hyperplane arrangement in is a finite collection of affine hyperplanes. The regions are the connected components of the complement of these hyperplanes. By a theor…
Pattern avoidance of -pairs in circular permutations
Krishna Menon, Anurag Singh
The study of pattern avoidance in linear permutations has been an active area of research for almost half a century now, starting with the work of Knuth in 1973. More recently, the…
Pattern avoidance and dominating compositions
Krishna Menon, Anurag Singh
Jelínek, Mansour, and Shattuck studied Wilf-equivalence among pairs of patterns of the form where is a set partition of size with at least two blocks. They obtain…
A combinatorial statistic for labeled threshold graphs
Priyavrat Deshpande, Krishna Menon, Anurag Singh
Consider the collection of hyperplanes in whose defining equations are given by . This arrangement is called the threshold arr…
Counting regions of the boxed threshold arrangement
Priyavrat Deshpande, Krishna Menon, Anurag Singh
In this paper we consider the hyperplane arrangement in whose hyperplanes are . We call it…