I'm not sure what you mean by "topic" but from the two lines you've written I cannot understand what is the dependent and independent variable you're addressing. If you mean a research topic, of course you must formulate a research question that investigates the relation between an independent variable that you're manipulating (in literature also termed "perturbation", "explenatory variable" or "regressor") and a dependent variable ( also termed "random variable" or "response variable") that you're measuring or assessing. They should be clearly stated in the abstract, introduction and possible the title, although some opt for a more catchy title.
In the first there is no relationship between what I imagine are the variables. I think it could be more helpful if you try to first to formulate research questions instead of titles. (Ex. "does the breed of parents affect kittens survival?"). Then you express the relationship between the variables (ex. "Effect of parental breed on kittens survival"). From this title is clear that the breed is the independent variable and the kittens survival the dependent one.
In the second I can guess that the government contribution is the independent variable and the service provision the dependent one, but I can't understand what type of variable they are because it's too vague. Contribution as funds? as laws?
As well explained by Nicolò M. Villa what you try to achieve in a research project is to explain a phenomenon , either observed or theorized through a relationship of factors or variables , to establish the phenomenon as a fact. This means you need to have those factors and variables expressed as a relation. Do you need to add them to the title? It is an option, but helps clarify your position.
In carrying out a research it is required that your topic should have a dependant and independent variable. This will enable you to establish a relationship. You may have a problem of validity if the two variable are not complete.
In carrying out a research it is required that your topic should have a dependant and independent variable. This will enable you to establish a relationship. You may have a problem of validity if the two variable are not complete.