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Can they? Yes. Can they do it without being in violation of the state (or country if outside the USA) statute outlining what constitutes abandonment? No.
no notification of being absent from work
What is child abandonment
child abandonment is a felony anywhere in the civilized world.
In most jurisdictions child abandonment is a criminal office.
There isn't necessarily a time span associated with it. Leaving them alone for even a minute can be considered abandonment if they are in an unsafe environment and not capable of taking care of themselves.
The abandonment of the project left him with mixed feelings. The house is falling down because of its abandonment. The child's abandonment left him scarred for life.
That depends on state law where the child legally resides (or country if outside the USA). Every place has a different statute or guideline regarding what constitutes abandonment and in all cases, any extenuating circumstances are taken into consideration before making such a ruling.
It is abandonment if the parent is not taking care of the child or aware that the child is in a good home where food, etc is provided. The child can turn around and say it is abandonment, despite the conditions.
First you check your state's statute regarding what constitutes abandonment. In some states, not paying support but abiding by visitation would not constitute abandonment. In all states, the period of time before a finding of abandonment is made may vary or there may be no specific period of time, rather the court decides (there is a 6 month general rule of thumb, but that is not carved in stone). And in all cases, any extenuating circumstances are considered. For instance, if a parent is indigent, incarcerated, hospitalized, etc., the may not be found to have abandoned their child.
Not necessarily, states have control over domestic issues. The laws of the state where the custody order was obtained determine what constitutes abandonment. If the person is still paying court ordered child support it would not be construed as abandonment. Contacting the attorney who assisted in the original custody agreement might help in obtaining more specific information.