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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Penelitian Tarbawi: Pendidikan Islam dan Isu-Isu Sosial
Aji, Ahmad
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Religion Humanities Education Mathematics Social Sciences Other

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on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family Kristiana, Arika Indah; Aji, Ahmad; Wihardjo, Edy; Setiawan, Deddy
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.16334

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.
Akidah Tasawuf (Akhlak, Moral dan Etika): Akhlak, Moral dan Etika Aji, Ahmad; Junaedi Sitika, Achmad; Farhan Fatah , Ahmad; Tafriji, Ilham
Tarbawi Vol 9 No 2 (2024): Tarbawi: Jurnal Pendidikan Islam dan Isu-isu Sosial
Publisher : Fakultas Tarbiyah Institut Agama Islam Hamzanwadi Pancor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37216/tarbawi.v9i2.1790

Abstract

Morals are habits or attitudes that are deep in the human soul where actions arise easily and effortlessly without prior consideration and are carried out repeatedly until they become habits and these actions can lead to good or bad actions. Ethics is a science that studies good and bad by considering human actions rationally, especially in terms of thoughts, feelings and goals of actions, as well as discussing good and bad as well as theories about morals and how to behave in society. Morals are a set of principles, values, or standards that guide human behavior regarding what is considered right or wrong related to ethics and are usually influenced by culture, religion, education, and individual experience. The differences between morals, morals and morals are the part that discusses good and bad issues based on revelation or the Al-Qur'an and hadith.Keywords: morals, morals, ethics
Co-Authors Achmad Junaedi Sitika Arika Indah Kristiana Deddy Setiawan Farhan Fatah , Ahmad Tafriji, Ilham WIHARDJO, EDY Yusalina Yusalina