Publications (12)
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…
Photonics in Flatland: Challenges and Opportunities for Nanophotonics with 2D Semiconductors
Ali Azimi, Julien Barrier, Angela Barreda +45
Two-dimensional (2D) semiconductors are emerging as a versatile platform for nanophotonics, offering unprecedented tunability in optical properties through exciton resonance engine…
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.
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…
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…
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…
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…
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…
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 $…
Applying the Apriori algorithm for investigating the relationships between demographic characteristics of Iranian top 100 enterprises and the strcture of their commercial website
Ali Azimi, Azar Kaffashpour
This study was conducted with the main aim to investigate the relationships between demographic characteristics of companies and the facilities required for their commercial websit…
Before Parc Fermé: RL-Time Pruning for Efficient Embodied LLMs in Autonomous Driving
Luca Benfenati, Ali Azimi, Matteo Risso +3
Embodied Large Language Models (LLMs) are increasingly used as reasoning modules in robotic control pipelines to improve human-robot interaction, but their memory and generation la…