TL;DR
This paper investigates the probability that a randomly chosen set of elements from an alphabet can be rearranged into a palindrome, analyzing how this probability behaves as the set size and alphabet size grow large.
Contribution
It introduces a probabilistic framework for palindromic formation from unordered sets and explores asymptotic behavior as parameters increase.
Findings
Probability of forming a palindrome depends on set and alphabet sizes.
Asymptotic analysis reveals trends in palindromic density for large parameters.
Provides formulas and insights into combinatorial properties of palindromes.
Abstract
In this paper we consider the palindromes that can be formed by taking unordered sets of elements from an alphabet of letters. In particular, we seek to find the probability that given a random member of this space we are able to re-arrange its elements to form a palindrome. We conclude by exploring the behaviour of this probability as
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Taxonomy
Topicssemigroups and automata theory · Digital Image Processing Techniques · Algorithms and Data Compression