Jurnal Diferensial
Vol 6 No 1 (2024): April 2024

COLORING r-DYNAMIC POINT ON CRICKET GRAPH

Nurita Kusumawati (Universitas Jember)
Arika Indah Kristiana (Unknown)
Ridho Alfarisi (Universitas Jember)
Robiatul Adawiyah (Universitas Jember)
Toto Bara Setiawan (Universitas Jember)
Rafiantika Megahnia Prihandini (Universitas Jember)

Article Info

Publish Date
09 Jan 2024

Abstract

A graph is defined as an ordered set (V,E) where V is a non-empty set of elements called vertices and E is a set of edges which are finite and may be empty and each edge connects two different points of V(G).The r-dynamic coloring is defined as c:V(G)→{1,2,3,…,k} such that it satisfies the following conditions if uv∈V(G), then c(u)≠ c(v), and ∀v∈V(G), |c(N(v))|≥min⁡{r,d(v)}, for positive integers r and degree of vertex v. The purpose of r-dynamic coloring is to find the minimum chromatic number of graph coloring with unlimited parameter r. Dynamic coloring is performed on cricket graphs because no research has been done before. The method used in this research is the axiomatic deductive research method and the pattern detection method.

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Journal Info
Jurnal Diferensial
Website

Abbrev

JD

Publisher

Universitas Nusa Cendana

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health

Description

Jurnal Diferensial adalah jurnal sains yang bertujuan untuk menyebarluaskan hasil riset-riset ataupun kajian pustaka pada bidang ilmu matematika dan terapannya. Artikel-artikel pada jurnal ini difokuskan kepada bidang ilmu matematika dan terapannya. Ruang lingkup atau bidang ilmu yang diterima ...