CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family

Arika Indah Kristiana (University of Jember)
Ahmad Aji (University of Jember)
Edy Wihardjo (University of Jember)
Deddy Setiawan (University of Jember)

Article Info

Publish Date
11 Oct 2022

Abstract

Proper vertex coloring c of a graph G is a graceful coloring if c is a graceful k-coloring for k∈{1,2,3,…}. Definition graceful k-coloring of a graph G=(V,E) is a proper vertex coloring c:V(G)→{1,2,…,k);k≥2, which induces a proper edge coloring c':E(G)→{1,2,…,k-1} defined c'(uv)=|c(u)-c(v)|. The minimum vertex coloring from graph G can  be colored with graceful coloring called a graceful chromatic number with notation χg (G). In this paper, we will investigate the graceful chromatic number of vertex amalgamation of tree graph family with some graph is path graph, centipede graph, broom and E graph.

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Journal Info
CAUCHY: Jurnal Matematika Murni dan Aplikasi
Website

Abbrev

Math

Publisher

Universitas Islam Negeri Maulana Malik Ibrahim Malang

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...