Combinatorics and Graph Theory

2201 Submissions

[2] viXra:2201.0186 [pdf] replaced on 2022-02-17 15:07:13

A Probabilistic Solution for the Syracuse Conjecture

Authors: Imad El ghazi
Comments: 6 Pages.

We prove the veracity of the Syracuse conjecture by establishing that starting from an arbitrary positive integer diffrent of $1$ and $4$, the Syracuse process will never comeback to any positive integer reached before and then we conclude by using a probabilistic approach.
Category: Combinatorics and Graph Theory

[1] viXra:2201.0099 [pdf] submitted on 2022-01-16 06:22:53

The Area Induced by Circles of Partition and Applications

Authors: Theophilus Agama
Comments: 5 Pages.

In this paper we continue with the development of the circles of partitions by introducing the notion of the area induced by circles of partitions and explore some applications.
Category: Combinatorics and Graph Theory