7 citations · 17 across the 21 of their papers we have counts for
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Uniform Intersection Numbers and Subgroup-Based Generating Graphs of Groups
Projesh Nath Choudhury, Biswaranjan Khanra
The uniform intersection number of a finite group , denoted by , is the smallest positive integer such that the intersection of any distinct maximal subgroups of…
Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
Projesh Nath Choudhury, Raju Nandi
The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 193…
The additive-multiplicative distance matrix of a graph, and a novel third invariant
Projesh Nath Choudhury, Apoorva Khare
Graham showed with Pollak and Hoffman-Hosoya that for any directed graph with strong blocks , the determinant and cofactor-sum of the distance matri…
Quadratic embedding constants of graphs: Bounds and distance spectra
Projesh Nath Choudhury, Raju Nandi
The quadratic embedding constant (QEC) of a finite, simple, connected graph is the maximum of the quadratic form of the distance matrix of on the subset of the unit sphere…
Blowup polynomials and delta-matroids of graphs
Projesh Nath Choudhury, Apoorva Khare
For every finite simple connected graph , we introduce an invariant, its blowup-polynomial . This is obtained by dividing the determinant of th…
Multivariate blowup-polynomials of graphs
Projesh Nath Choudhury, Apoorva Khare
In recent joint work (2021), we introduced a novel multivariate polynomial attached to every metric space - in particular, to every finite simple connected graph - and showed i…
Distance matrices of a tree: two more invariants, and in a unified framework
Projesh Nath Choudhury, Apoorva Khare
Graham-Pollak showed that for the distance matrix of a tree , det depends only on its number of edges. Several other variants of , including directed/multiplic…