10 citations · 19 across the 18 of their papers we have counts for
5 papers · 1 filter
Gröbner basis and Krull dimension of Lovász-Saks-Sherijver ideal associated to a tree
Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Akbar Yazdan Pour
Let be a field and be a positive integer. Let be a simple graph, where . If is…
Cellular resolutions of monomial ideals and their Artinian reductions
Sara Faridi, Mohammad Farrokhi Derakhshandeh Ghouchan, Roghayyeh Ghorbani +1
The question we address in this paper is: which monomial ideals have minimal cellular resolutions, that is, minimal resolutions obtained from homogenizing the chain maps of CW-comp…
Extending simplicial complexes: Topological and combinatorial properties
Mohammad Farrokhi Derakhshandeh Ghouchan, Alireza Shamsian, Ali Akbar Yazdan Pour
Given an arbitrary hypergraph , we may glue to a family of hypergraphs to get a new hypergraph having as an induced subhyper…
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…