Muhammed Bello, Muhammed Bello and Mohd. Ali, Nor Muhainiah
(2021)
*Group coloring via its geometric structures.*
In: 2020 International Uzbekistan-Malaysia Conference on Computational Models and Technologies, CMT 2020, 24 - 25 August 2020, Tashkent, Uzbekistan.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/5.0057313

## Abstract

Let Γ be a graph with vertex set V (Γ) and edge set E(Γ). A vertex coloring of Γ is an assignment of colors to V (Γ), so that no any two adjacent vertices share the same color. Meanwhile an edge coloring of Γ is an assignment of colors to E(Γ), so that no any two incident edges share the same color. Let G be a finite group, an order product prime graph of G, is a graph Γopp(G), having the elements of G as its vertices and two vertices are adjacent if and only if the product of their order is a prime power. In this paper, the general structure of the order product prime graph is used to investigate the vertex chromatic number, the dominated chromatic number, the locating chromatic number and the edge chromatic number of the order product prime graph on cyclic groups and dihedral groups.

Item Type: | Conference or Workshop Item (Paper) |
---|---|

Uncontrolled Keywords: | Edge coloring, Order product prime graph, Vertex adjacency, Vertex coloring |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 98077 |

Deposited By: | Widya Wahid |

Deposited On: | 30 Nov 2022 04:05 |

Last Modified: | 30 Nov 2022 04:05 |

Repository Staff Only: item control page