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All Journal Natural Science: Journal of Science and Technology Jurnal Pendidikan Jasmani, Olahraga dan Kesehatan Jurnal Pendidikan Bahasa Jepang Undiksha KARMAPATI (Kumpulan Artikel Mahasiswa Pendidikan Teknik Informatika) ISSN: 2252-9063 Electronic Journal of Graph Theory and Applications (EJGTA) Journal of the Indonesian Mathematical Society JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vygotsky: Jurnal Pendidikan Matematika dan Matematika InPrime: Indonesian Journal Of Pure And Applied Mathematics Parameter: Journal of Statistics Fraktal: Jurnal Matematika dan Pendidikan Matematika Arus Jurnal Sosial dan Humaniora Almufi Jurnal Pengabdian kepada Masyarakat Sulawesi Tenggara Educational Journal Journal Of Human And Education (JAHE)
I Wayan Sudarsana
Universitas Tadulako
Religion Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Social Sciences Other

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Journal : Electronic Journal of Graph Theory and Applications (EJGTA)

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A note on the Ramsey number for cycle with respect to multiple copies of wheels I Wayan Sudarsana
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 9, No 2 (2021): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2021.9.2.24

Abstract

Let Kn be a complete graph with n vertices. For graphs G and H, the Ramsey number R(G, H) is the smallest positive integer n such that in every red-blue coloring on the edges of Kn, there is a red copy of graph G or a blue copy of graph H in Kn. Determining the Ramsey number R(Cn, tWm) for any integers t ≥ 1, n ≥ 3 and m ≥ 4 in general is a challenging problem, but we conjecture that for any integers t ≥ 1 and m ≥ 4, there exists n0 = f(t, m) such that cycle Cn is tWm–good for any n ≥ n0. In this paper, we provide some evidence for the conjecture in the case of m = 4 that if n ≥ n0 then the Ramsey number R(Cn, tW4)=2n + t − 2 with n0 = 15t2 − 4t + 2 and t ≥ 1. Furthermore, if G is a disjoint union of cycles then the Ramsey number R(G, tW4) is also derived.
Non-inclusive and inclusive distance irregularity strength for the join product of graphs Faisal Susanto; Kristiana Wijaya; I Wayan Sudarsana; Slamin Slamin
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 1 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.1.1

Abstract

A function ϕ: V(G)→{1, 2, …, k} of a simple graph G is said to be a non-inclusive distance vertex irregular k-labeling of G if the sums of labels of vertices in the open neighborhood of every vertex are distinct and is said to be an inclusive distance vertex irregular k-labeling of G if the sums of labels of vertices in the closed neighborhood of each vertex are different. The minimum k for which G has a non-inclusive (resp. an inclusive) distance vertex irregular k-labeling is called a non-inclusive (resp. an inclusive) distance irregularity strength and is denoted by dis(G) (resp. by dis(G)). In this paper, the non-inclusive and inclusive distance irregularity strength for the join product graphs are investigated.
Co-Authors Abdi Abdul Mahatir Najar Agusman Sahari Al Fajri, Iman Andi Hendra Anita Ahmad Kasim Ayu Lestari D Farhamsa, D Desy Lusiyanti Dwi Shinta Angreni Erwanda, Muhammad Tegar Faisal Susanto Farih, Muhamad Fitria Fitria Habibi Habibi Hayyan Ahmad Ulul Albab Hervisari, Hervisari Huzaimah Huzaimah I Gede Mahendra Darmawiguna I Made Gede Sunarya Ikram Indalestari, Wa Ode Dien Ismail, M S Ismiyanti, Ismiyanti Jaenuddin, Arsyad Junaidi Junaidi Kadek Eva Krishna Adnyani Khasmawati, Julia Kristiana Wijaya Mariani Mariani Marsalena, Nindi Ade Marsalena, Nindy Ade Merdekawati, Dian Ayu Muhammad Rivai Mutmainna, Nurul Naim, Ifin Ni Nengah Suartini, Ni Nengah Noviana Noviana Nur Aisyah Nurainun Nurainun Nurhayati, Listi Nurul Arifin Patulak, Lucia Evianti Putri, Niluh Putu Aprillia Puspitadewi Sudarsana Raiza, Raiza Rajuddin, Wa Ode Nursaadha Rasna Resnawati Ridha Taurisma Lajaria Rina Ratianingsih Rita, Wa Rita, Wa Ade Rizki Amalia S Fatimah, S S Slamin Selvy Musdalifah Suhartien, Inten Sulistiawati Mendi Sultan Andhika Suprianto, Ghalib Talaba, Djeliyana Titop, Herman Wahyuli, Diana Wahyuningsi, Sri Wati, Kristin Lita Yesi, Indah