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What is a star tree?(a) A tree having a single internal vertex and n-1 leaves(b) A tree having n vertices arranged in a line(c) A tree which has 0 or more connected subtrees(d) A tree which contains n vertices and n-1 cyclesThe question was asked in an online interview.This intriguing question comes from Properties of Tree topic in chapter Trees of Discrete Mathematics

Answer»

The correct choice is (a) A TREE having a single INTERNAL VERTEX and n-1 LEAVES

Explanation: A star tree of order n is a tree with as many leaves as possible or in other words a star tree is a tree that consists of a single internal vertex and n-1 leaves. However, an internal vertex is a vertex of DEGREE at least 2.



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