The folded hypercube $FQ_n$ is the Cayley graph Cay$(\mathbb{Z}_2^n,S)$, where $S=\{e_1,e_2,\dots,e_n\}\cup \{u=e_1+e_2+\dots+e_n\}$, and $e_i = (0,\dots, 0, 1, 0,$ $\dots, 0)$, with 1 at the $i$th position, $1\leq i \leq n$. In this paper, we show that the folded hypercube $FQ_n$ is a distance-transitive graph. Then, we study some properties of this graph. In particular, we show that if $n\geq 4$ is an even integer, then the folded hypercube $FQ_n$ is an $automorphic$ graph, that is, $FQ_n$ is a distance-transitive primitive graph which is not a complete or a line graph.

primitive neuroectodermal tumors are fairly rare in uterus. A case of uterine body primitive neuroectodermal tumor in a 32-year-old Iranian woman is presented. The patient was admitted with abdominal pain and fever and underwent emergency exploratory surgery with total abdominal hysterectomy, bilateral salpingo-oophorectomy, and pelvic lymph node dissection. Posterior wall of the uterus was necrotic and ruptured and a huge tumor disrupted the uterine body. The tumor was strongly positive for CD99, NSE, and chromogranin; No reaction was seen for CD10, CD45 and myogenin. To the best of our knowledge, this is the first report of an uterine body primitive neuroectodermal tumor and the second report of uterine primitive neuroectodermal tumor from Iran.

In this research, a method for producing gum tragacanth (GT) fibers is presented. Ribbon type GT of Astragalus Gummifer species were obtained from local production lands. The gum was treated with alkali to increase its process ability, and allowed to stand for a period of time to reach the proper viscosity and/or to “ripen”. Samples with different ripening times were prepared and their viscosities were measured to determine the effect of ageing time on viscosity. They were injected into a coagulation bath. Calcium chloride with different concentrations was applied as the coagulant agent. The consolidated samples were washed under different pH conditions. Finally, the mechanical properties of the fibers were measured and their scanning electron micrographs were taken. The results show that chemically modified GT can be processed into fibers with different qualities.

We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties of the corresponding hyperstructure space.

The independence graph Ind(G) of a graph G is the graph with vertices as maximum independent sets of G and two vertices are adjacent, if and only if the corresponding maximum independent sets are disjoint. In this work, we find the independence graph of Cartesian product of d copies of complete graphs Kq, which is known as the Hamming graph H(d, q). Greenwell and Lovasz [7] found that the independence number of direct product of d copies of Kq as qd−1. We prove that the independence number of Hamming graph H(d, q), which is cartesian product of d copies of Kq, is also qd−1. As an application of our findings, we find answers for rook problem in higher dimensional square chess board.