G. Khosrovshahi

activity

20072019

most citedOn the volumes and affine types of trades

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2019★ 1 cited

Maximal graphs with respect to rank

H. Esmailian, E. Ghorbani, S. Hossein Ghorban +1

The rank of a graph is defined to be the rank of its adjacency matrix. A graph is called reduced if it has no isolated vertices and no two vertices with the same set of neighbors.…

math.CO2019

Some Partitionings of Complete Designs

M. H. Ahmadi, N. Akhlaghini, G. B. Khosrovshahi +1

Let $v \geq 6$ be an integer with $v \equiv 2 (mod 4)$ . In this paper, we introduce a new partitioning of the set of all $3$ -subsets of a $v$ -set into some simple trades.

math.CO2018★ 3 cited

On the volumes and affine types of trades

E. Ghorbani, S. Kamali, G. B. Khosrovshahi +1

A $[t]$ -trade is a pair $T = (T_{+}, T_{-})$ of disjoint collections of subsets (blocks) of a $v$ -set $V$ such that for every $0 \leq i \leq t$ , any $i$ -subset of $V$ is included in the same…

math.CO2012

On optimality of designs with three distinct eigenvalues

M. R. Faghihi, E. Ghorbani, G. B. Khosrovshahi +1

Let $\D_{v,b,k}$ denote the family of all connected block designs with $v$ treatments and $b$ blocks of size $k$ . Let $d\in\D_{v,b,k}$. The replication of a treatment is the number…

math.CO2011

A note on zero-sum 5-flows in regular graphs

S. Akbari, N. Ghareghani, G. B. Khosrovshahi +1

Let $G$ be a graph. A zero-sum flow in $G$ is an assignment of nonzero real number to the edges such that the sum of the values of all edges incident with each vertex is zero. Let…

math.CO2007

Inclusion Matrices and Chains

E. Ghorbani, G. B. Khosrovshahi, Ch. Maysoori +1

Given integers $t$ , $k$ , and $v$ such that $0 \leq t \leq k \leq v$ , let $W_{t k} (v)$ be the inclusion matrix of $t$ -subsets vs. $k$ -subsets of a $v$ -set. We modify slightly the concep…