An orthogonal double cover (ODC) of the complete graph is a collection of graphs such that every two of them share exactly one edge and every edge of the complete graph belongs to exactly two of the graphs. In this paper, we consider the case where the graph to be covered twice is the complete bipartite graph Kmn,mn (for any values ofm,n) and all graphs in the collection are isomorphic to certa...

Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...

When an orthogonal array is projected on a small number of factors, as is done in screening experiments, the question of interest is the structure of the projected design, by which we mean its decomposition in terms of smaller arrays of the same strength. In this paper we investigate the decomposition of arrays of strength t having t + 1 factors. The decomposition problem is well-understood for...

The fluid flow behaviors during the production of coalbed methane (CBM) are generally restricted by pre-existing natural fractures in coal seams. To better understand effect micro-fracture morphology on capability, nine coals collected from Ordos Basin were subjected to optical microscope observations obtain micro-fractures morphology. And then, box-counting method (BCM) was used quantify compl...

conclusions mandibular fractures can be complicated and demanding, and have a compelling impact on patients’ quality of life. our study reported that parasymphysis was the most common region involved in mandible fractures. results a total of 653 subjects had mandibular fractures, out of which 574 were males. the mean age of the participants was 31.54 ± 13.07. the majority of the subjects were b...