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All Journal Jurnal Ilmu Dasar Jurnal Edukasi Universitas Jember KADIKMA BERKALA SAINSTEK CAUCHY: Jurnal Matematika Murni dan Aplikasi Electronic Journal of Graph Theory and Applications (EJGTA) Saintifika Journal of Mathematical and Fundamental Sciences Prosiding Seminar Matematika dan Pendidikan Matematik INFORMAL: Informatics Journal JURNAL NASIONAL TEKNIK ELEKTRO UNEJ e-Proceeding Proceeding of the Electrical Engineering Computer Science and Informatics Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control Limits: Journal of Mathematics and Its Applications International Journal of Supply Chain Management Indonesian Journal of Combinatorics CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Pancaran Pendidikan SAINTIFIKA Jurnal Sains Natural
S Slamin
CGANT University Of Jember Indonesia; System Information. Depart. University Of Jember
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Medicine & Pharmacology Nursing Physics Public Health Social Sciences Transportation Other

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Journal : CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

 1 
On r-Dynamic Coloring for Graph Operation of Cycle, Star, Complete, and Path Desy Tri Puspasari; Dafik Dafik; Slamin Slamin
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2952.959 KB) | DOI: 10.25037/cgantjma.v1i1.2

Abstract

For integer k, r > 0, (k, r) -coloring of graph G is a proper coloring on the vertices of G by k-colors such that every vertex v of degree d(v) is adjacent to vertices with at least min{d(v), r} different color. By a proper k -coloring of graph G, we mean a map c : V (G) → S, where |S| = k, such that any two adjacent vertices are different color. An r -dynamic k -coloring is a proper k -coloring c of G such that |c(N (v))| ≥ min{r, d(v)} for each vertex v in V (G), where N (v) is the neighborhood of v and c(S) = {c(v) : v ∈ S} for a vertex subset S . The r-dynamic chromatic number, written as χr (G), is the minimum k such that G has an r-dynamic k-coloring. Note the 1-dynamic chromatic number of graph is equal to its chromatic number, denoted by χ(G), and the 2-dynamic chromatic number of graph denoted by χd (G). By simple observation with a greedy coloring algorithm, it is easy to see that χr (G) ≤ χr+1(G), however χr+1(G) − χr (G) does not always have the same difference. Thus finding an exact values of χr (G) is significantly useful. In this paper, we investigate the some exact value of χr (G) when G is for an operation product of cycle, star, complete, and path graphs.
Super (a; d)-H-Antimagic Total Covering of Triangular Cycle Ladder Graph for Developing Ciphertext Irma Azizah; Dafik Dafik; Slamin Slamin
CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Vol 1, No 1 (2020): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Publisher : jcgant

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2818.788 KB) | DOI: 10.25037/cgantjma.v1i1.8

Abstract

A (a; d)-H-antimagic total covering is a total labeling dari V (G) [ E(G) to integer number f1; 2; 3; :::; jV (G) [ E(G)jg with condition, every subgraph A inP P PG isomorphic with subgraph H A = v2V (A) (v) + e2E(A) (e) on arith-metic sequence. A graph containing the labeling called super (a; d)-H-antimagic total covering. Furthermore , f (v)gv2V = f1; :::; jV jg, is called graph super H antimagic. In this research used triangular Cycle Ladder Graph T CLn of con-nective to developing ciphertext. Key Word : Super H antimagic total selimut, Triangular Cycle Ladder Graph T CLn, Ciphertexts.
Co-Authors Abdul Rouf Alghofari Agustina M. Andrea Semanicova-Fenovcikova Antonius Cahya Prihandoko Ar Ruhimat, Qurrota A'yuni Arif Fatahillah Arifin, Mohammad D. Dafik Desy Nurjannah Desy Tri Puspasari Desy Tri Puspasari, Desy Tri Dian Anita Hadi, Dian Anita Diari Indriati Diksy Media Firmansyah Dinawati Trapsilasiwi Dzurrotun Nasyika Ermita Rizki Albirri Faisal Susanto Gembong A. W. Hardja, Ivan Hidayat, Noor Hilmiyah Hanani I Wayan Sudarsana Ika Hesti Agustin, Ika Hesti Inge Yosanda Arianti, Inge Yosanda Irma Azizah Ivan Hardja Juniar Priaditama Kiki A. Sugeng Kristiana Wijaya Kristiana Wijaya Kusbudiono Kusbudiono, Kusbudiono Liliek Susilowati Lubis Muzaki Lusia Dewi Minarti Lusia Dewi Minarti M, Nurul Istiana M. Utomo Malinda, Alvira Martin Baca Mirka Miller Moch Bustommy Maulana Moch. Zaenal A Moh Febri Nurul Qorik Moh. Hasan Mohammad Imam Utoyo Mohammad Zarkasi Muhlisatul Mahmudah, Muhlisatul Nova El Maidah Novalita Anjelia Nuris Hisan Nazula Nurul Istiana M Oktalia Juwita Oktavia, Nelly Prabhu, Savari Priza Pandunata Qurrotul A’yun R Rohmatullah Robiatul Adawiyah Robiatul Adawiyah Rukmana Sholehah, Rukmana S. M. Yunika Safira Izza Ghafrina Safira Izza Ghafrina Saiful Bukhori Santoso, Kiswara Agung Septiyani Setyo Wulandari Shapbian Novindasari, Shapbian Sholihah, Siti Mar’atus Siti Mar’atus Sholihah Sulistio, Wahyu Susi Setiawani Tanti Windartini, Tanti Tri Mulyani Tri Mulyani Umilasari, Reni Wahyu, Ria Ammelia Wijayanti, Dian Eka Wiji Utami Windi Eka Yulia Retnani Yanuar Nurdiansyah, Yanuar Yayuk Wahyuni Yudha Alif Auliya