3 papers
math.CO2024
Unimodality and peak location of the characteristic polynomials of two distance matrices of trees
Rakesh Jana, Iswar Mahato, Sivaramakrishnan Sivasubramanian
Unimodality of the normalized coefficients of the characteristic polynomial of distance matrices of trees are known and bounds on the location of its peak (the largest coefficient)…
math.CO2023
Inverse Formulae for -analogues of Bipartite Distance Matrix
Rakesh Jana
We consider two distinct -analogues of the bipartite distance matrix, namely the -bipartite distance matrix and the exponential distance matrix. We provide formulae of the in…
math.CO2023
The maximum four point condition matrix of a tree
Ali Azimi, Rakesh Jana, Mukesh Kumar Nagar +1
The Four point condition (4PC henceforth) is a well known condition characterising distances in trees . Let be four vertices in $T…