There are four counties in Hawaii (Kauai; city and county of Honolulu; Maui; and Hawaii). Each city has a mayor and council in charge.
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Honolulu is the largest city in the world -- at least it has the longest borders. According to the state constitution any island (or islet) not named as belonging to a county belongs to Honolulu.
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Under-sea volcanoes that erupted thousands of years ago formed the islands of Hawaii.