Prove that edit distance on text strings defines a metric, Computer Engineering

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Prove that edit distance on text strings defines a metric

Problem

1. Prove that edit distance on text strings defines a metric.

2. Show that the expected distance between two points chosen uniformly and independently from a line of length 1 is 1/3. Establish convincing upper and lower bounds on this expected distance for partial credit.

3. What is the maximum number of nearest neighbors that a given point p can have in two dimensions, assuming the possibility of ties?

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Computer Engineering: Prove that edit distance on text strings defines a metric

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Computer Engineering: Prove that edit distance on text strings defines a metric

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