M. F. D. Ghouchan

activity

20162025

collaborators

14 papers

math.CO2025

Positive matching decompositions of the cartesian product of graphs

Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Akbar Yazdan Pour

Let $Γ = (V, E)$ be a finite simple graph. A matching $M \subseteq E$ is positive if there exists a weight function on $V$ such that the matching $M$ is characterized by those edges w…

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.AC2023

Gröbner basis and Krull dimension of Lovász-Saks-Sherijver ideal associated to a tree

Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Akbar Yazdan Pour

Let $K$ be a field and $n$ be a positive integer. Let $Γ = ([n], E)$ be a simple graph, where $[n] = {1, \dots, n}$ . If $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}]$ is…

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.

math.AC2022

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…

math.CO2022

Fully reducible simple Venn diagrams

Mohammad Farrokhi Derakhshandeh Ghouchan

We generalize Venn diagrams in spaces of arbitrary dimension $\geq 2$ and study simple Venn diagrams with the reducing property. Three equivalent conditions for a simple Venn diagr…