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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…
math.CO2023
Explicit formulas for matrices associated to ladder, circular ladder, and Mobius ladder graphs
Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan
We give explicit formulas for resistance distance matrices and Moore-Penrose inverses of incidence and Laplacian matrices of ladder, circular ladder, and Möbius ladder graphs. As a…
math.CO2023
Moore-Penrose inverse of incidence matrices
Ali Azimi, R. B. Bapat, Mohammad Farrokhi Derakhshandeh Ghouchan
We present explicit formulas for Moore-Penrose inverses of some families of set inclusion matrices arising from sets, vector spaces, and designs.