Answer: Your flamboyant tree is Delonix regia, also called peacock flower tree. The flowers are bright scarlet in color, and 3"-4" across. It's extremely frost-tender and will have to be grown indoors during the winter months.
Plumeria obtusa, also known as Singapore Plumeria has fragrant white flowers with yellow centers and dark green leaves 6" long and 2" wide. Compared to 16" long leaves of the more commonly grown Plumeria rubra, I'll bet the plant you're looking for is Plumeria obtusa. It's very tender and will need protection from autumn through spring, so it would be best grown as a container plant in your gardening region.
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