Article ID Journal Published Year Pages File Type
6423371 Discrete Mathematics 2014 5 Pages PDF
Abstract
In Matula (1968), D.W. Matula described a bijection between N and the set of rooted trees; the number is called the Matula number of the rooted tree. The Gutman-Ivić-Matula (GIM) function g(n) computes the number of edges of the tree with Matula number n. Since there is a prefix-free code for the set of prime numbers such that the codelength of each prime p is 2g(p), we show how some results about the GIM function can be obtained trivially from coding theorems.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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