An unpaired many-to-many -disjoint path cover (-DPC) of a graph  is a set of  disjoint paths joining  distinct sources and sinks in which each vertex of  is covered by a path. Here, a source can be freely matched to a sink. In this paper, we investigate unpaired many-to-many DPC's in a subclass of hpercube-like interconnection networks, called restricted HL-graphs, and show that every -d...

A Disjoint Path Cover (DPC for short) of a graph is a set of pairwise (internally) disjoint paths that altogether cover every vertex of the graph. Given a set S of k sources and a set T of k sinks, a many-to-many k-DPC between S and T is a disjoint path cover each of whose paths joins a pair of source and sink. It is classified as paired if each source of S must be joined to a designated sink o...

Immunoassays are laboratory technologies used for cost-effective and sensitive assessment of many different analytes. These analytes account for about 25% of the tests done at large regional laboratories and include tests ranging from those for specific drugs like Dilantin and Digoxin; proteins like PSA, Troponin, and Ferritin; vitamins like Vitamin B12 and Folate; and hormones like TSH, free T...

Lands can be "less favored" by nature or by man for many reasons. Some areas, often on hillsides, have soils that are at risk for degradation but could produce good crops under certain conditions. Others have soils that are so poor farmers cannot even think about growing crops there. Others have productive soils but are inaccessible and need infrastructure like roads to make it worthwhile for f...

in this paper the most important arguments of muslim philosophers in supporting the createdness of the human soul are examined. we will criticize five arguments by some new objections and show that none of them is reliable and unquestionable. then we go through the most important views of exegetes on the nature of the world of pre-existence (the world of zarr) and criticize them. two of these v...