The phrase "complexity of the connection" is correct and usable in written English.
It can be used when discussing intricate relationships or interactions between different elements, such as in technology, sociology, or systems theory.
Example: "The complexity of the connection between user behavior and software performance is often underestimated."
Alternatives: "intricacy of the relationship" or "complication of the link."
The studies provide an example of the complexity of the connection between land-use and transport system, involving a very large number of social, economic, technical and historical elements not easy to measure and to compare.
Biomarkers unravel the complexity of the connection between exposure to air particles and respiratory health.
Note the complexity of the connection, which would be nearly impossible to detect in traditional thin sections.
While finding the application of biomarkers in epidemiological studies of health effects caused by air particles in both environmental and occupational health to be inchoate, they concluded that biomarkers can unravel the complexity of the connection between exposure to air particles and respiratory health.
The large brain of humans is attributable not so much to an increased nerve cell content as to an increase in the size of the nerve cells and to a greater complexity of the connections linking one cell to another.
And though scientists used to believe that short- and long-term memories were stored in different parts of the brain, they have discovered that what really distinguishes the lasting from the transient is how strongly the memory is engraved in the brain, and the thickness and complexity of the connections linking large populations of brain cells.
Unweighted auxiliary nodes, locally refining the network model, allow one to capture the complexity of the connections between weighted end-nodes.
Over a large area, thick oil-bearing layers are usually composed of multiple individual sand bodies, and the complexity of the connections and the differences in the characteristics can result in complicated reservoir heterogeneity.
Both the complexity of the connections as well as the apparent distinct molecular signatures at each major point in leaf development could be distinguished.
The proximal mTORC1 activator Rheb is involved in direct inhibition of C-Raf activity and B-Raf/C-Raf heterodimerization that highlights the complexity of the connections among the mTORC1, PI3K/AKT and MAPK pathways.
Detail of A shown in B ; note the complexity of the convoluted connection (follow the arrow to identify the continuity).
