10 citations · 13 across the 8 of their papers we have counts for
9 papers
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…
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…
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.
Steiner distance matrix of caterpillar graphs
Ali Azimi, R. B. Bapat, Shivani Goel
For a connected graph , the Steiner distance among a set of vertices is the minimum size among all the connected subgraphs of whose vertex set contains $…
Factorization graphs of finite groups
Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Azimi
We introduce the factorization graph of a finite group and study its connectedness and forbidden structures. We characterize all finite groups with connected factorization graphs a…
Self 2-distance graphs
Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan
All finite simple self -distance graphs with no -cycle, diamond, or triangles with a common vertex are determined. Utilizing these results, it is shown that there is no cubic…
On cycles in intersection graph of rings
Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan +1
Let be a commutative ring with non-zero identity. We describe all - and -free intersection graph of non-trivial ideals of as well as -free intersection graph…
Cycles and paths in Jacobson graphs
Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan
All finite Jacobson graphs with a Hamiltonian cycle or path, or Eulerian tour or trail are determined, and it is shown that a finite Jacobson graph is Hamiltonian if and only if it…
Isomorphisms between Jacobson graphs
Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan
Let be a commutative ring with a non-zero identity and be its Jacobson graph. We show that if and are finite commutative rings, then $\mathfrak{J}_R\c…