Claim Missing Document
Check
Articles

Found 3 Documents
Search
Journal : Indonesian Journal of Combinatorics

Local antimagic vertex coloring of unicyclic graphs Nuris Hisan Nazula; S Slamin; D Dafik
Indonesian Journal of Combinatorics Vol 2, No 1 (2018)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (206.369 KB) | DOI: 10.19184/ijc.2018.2.1.4

Abstract

The local antimagic labeling on a graph G with ∣V∣ vertices and ∣E∣ edges is defined to be an assignment f : E → {1, 2, ⋯, ∣E∣} so that the weights of any two adjacent vertices u and v are distinct, that is, w(u) ≠ w(v) where w(u) = Σe ∈ E(u)f(e) and E(u) is the set of edges incident to u. Therefore, any local antimagic labeling induces a proper vertex coloring of G where the vertex u is assigned the color w(u). The local antimagic chromatic number, denoted by χla(G), is the minimum number of colors taken over all colorings induced by local antimagic labelings of G. In this paper, we present the local antimagic chromatic number of unicyclic graphs that is the graphs containing exactly one cycle such as kite and cycle with two neighbour pendants.
Randomness of encryption keys generated by super H-antimagic total labeling Antonius Cahya Prihandoko; Yudha Alif Auliya; Diksy Media Firmansyah; S Slamin
Indonesian Journal of Combinatorics Vol 4, No 1 (2020)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2020.4.1.3

Abstract

SuperH-antimagic total labeling (SHATL) can be utilized to generate encryption keys. The keys are then used to establish the improved block and stream ciphers. In these ciphers, different blocks were encrypted by the different keys, but all block keys were connected one another. These conditions make the developed cryptosystems more secure and require less keys storage capacity compared to the ordinary block and stream cipher. The randomness of the generated keys, however, still need to be tested. The test is necessary to ensure that there is no specific pattern that can be utilized by any intruder to guess the keys. This paper presents the randomness tests applied to all key sequences generated by both the improved block scheme and the stream based scheme.
On inclusive distance vertex irregularity strength of book graph Wahyu, Ria Ammelia; Santoso, Kiswara Agung; Slamin, Slamin
Indonesian Journal of Combinatorics Vol 7, No 2 (2023)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2023.7.2.4

Abstract

The concept of distance vertex irregular labeling of graphs was introduced by Slamin in 2017. The distance vertex irregular labeling on a graph G with v vertices is defined as an assignment λ : V → {1, 2, ..., k} so that the weights calculated at vertices are distinct. The weight of a vertex x in G is defined as the sum of the labels of all the vertices adjacent to x (distance 1 from x). The distance vertex irregularity strength of graph G, denoted by dis(G), is defined as the minimum value of the largest label k over all such irregular assignments. Bong, Lin and Slamin generalized the concept to inclusive and non-inclusive distance irregular labeling. The difference between them depends on the way to calculate the weight on the vertex whether the vertex label we calculate its weight is included or not. The inclusive distance vertex irregularity strength of G, is defined as the minimum of the largest label k over all such inclusive irregular assignments. In this paper, we determine the inclusive distance vertex irregularity strength of some particular classes of graphs such as book graph.
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