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All Journal Journal of Mathematics UNP
Agung Aldhi Prastya
Universitas Gadjah Mada
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Interpretasi Kombinatorial Kongruensi Fungsi Partisi Biner Modulo 2 Agung Aldhi Prastya; Uha Isnaini
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.14255

Abstract

A partition of a positive integer n is a non-increasing sequence of finite positive integers such that the sum is equal to n. One thing that is studied by some researchers in integer partition is binary partition. A binary partition of a positive integer n is a non-increasing sequence of finite positive integers that are powers of 2 and sum to n. The number of binary partitions of n is denoted by b(n) and is called the binary partition function. In this study, we provides a combinatorial interpretation of a congruence of binary partition functions modulo 2. The interpretation involves dividing all binary partitions of n into two sets with the same cardinality using a bijective function that maps binary partitions satisfying certain conditions to binary partitions satisfying other conditions.
Co-Authors Uha Isnaini