International Journal of Computing Science and Applied Mathematics
Vol 3, No 1 (2017)

A Study on Parthenogenesis of Petersen Graph

Amiroch, Siti (Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Islam Darul ‘Ulum, Lamongan 62253, Indonesia.)
Kiratama, Danang (Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Islam Darul ‘Ulum, Lamongan 62253, Indonesia.)



Article Info

Publish Date
01 Mar 2017

Abstract

Genetics is the science of trait from the parent to the descendant. In biology, genetics pass a series of genes unification process that takes place in the chromosome. The results of genes unification will form the nature and character of the generation. This particular genetic process also applies in graph theory. Genetics on graph theory is divided into two: breeding and parthenogenesis. This present study elaborated a single type of genetic processes that was parthenogenesis which is applied on a Petersen graph. Through the similar process to genetics in biology, Petersen graph will be reconstructed and combined with other graphs (gene) in purposes to create a descendant or a new graph with new nature and characteristic. Based on the result of parthenogenesis on this Petersen graph, there was derived a graph which has 18 edges and 12 vertices, isomorphism toward another Petersen graph, Hamiltonian, and has 3 girth and symmetric.

Copyrights © 2017






Journal Info

Abbrev

ijcsam

Publisher

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...