The phrase "alter the relationships" is correct and usable in written English.
You can use it when discussing changes or modifications to existing connections or interactions between people, groups, or concepts.
Example: "The new policy aims to alter the relationships between management and employees to foster a more collaborative environment."
Alternatives: "change the dynamics" or "modify the connections."
The inclusion of community-level variables does not alter the relationships between the race, ethnicity, and immigrant generation categories and weight change.
Students do not always recognize that altering the orientation of a tree or format of the branches (e.g., straight, bent, or circular) does not alter the relationships represented (Catley et al. 2009; Halverson et al. 2011; Novick and Catley 2008).
However, in postoperative cardiac surgery, the consequences of the extracorporeal circulation on lung compliance and the thoracic effusion/drainage may alter the relationships between intra-alveolar and heart extra-wall pressures.
Further adjustment for lead did not alter the relationships.
Adjusting for A1C did not alter the relationships between 1,5AG levels in the other diabetic subgroups.
For example, increasing ambient temperatures will lead to acclimatization that could alter the relationships between heat waves and morbidity and mortality.
Lloyd said such a move would fundamentally alter the relationship between the police and the public in the UK.
The decision could alter the relationship between graduate students and their professors at private colleges and universities across the United States.
Hitler specifically, and quite wrongly, denied that agricultural technology could alter the relationship between people and nourishment.
In the process, the new Web sites and all the other medical information becoming available online have the potential to alter the relationship between patient and doctor.
Obama sought the Presidency in part because he hoped to alter the relationship between powerful financial interests and those who govern.
