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All Journal International Journal of Electrical and Computer Engineering CAUCHY: Jurnal Matematika Murni dan Aplikasi Prosiding Seminar Matematika dan Pendidikan Matematik UNEJ e-Proceeding Jurnal Matematika: MANTIK Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Indonesian Journal of Combinatorics CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS Dedication : Jurnal Pengabdian Masyarakat

Ika Hesti Agustin, Ika Hesti

Department Of Mathematics, University Of Jember, Indonesia.

Author-ID : 488507

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Mathematics Mechanical Engineering Physics Transportation Other

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Implementation of super H-antimagic total graph on establishing stream cipher Antonius Cahya Prihandoko; D. Dafik; Ika Hesti Agustin
Indonesian Journal of Combinatorics Vol 3, No 1 (2019)
Publisher : Indonesian Combinatorial Society (InaCombS)

This paper is aimed to study the use of super (a, d)-H antimagic total graph on generating encryption keys that can be used to establish a stream cipher. Methodology to achieve this goal was undertaken in three steps. First of all the existence of super (a, d)-H-antimagic total labeling was proven. At the second step, the algorithm for utilizing the labeling to construct a key stream was developed, and finally, the mechanism for applying the key to establish a stream cipher was constructed. As the result, according to the security analysis, it can be shown that the developed cryptographic system achieve a good security.

On r-dynamic coloring of some graph operations Ika Hesti Agustin; D. Dafik; A. Y. Harsya
Indonesian Journal of Combinatorics Vol 1, No 1 (2016)
Publisher : Indonesian Combinatorial Society (InaCombS)

Let $G$ be a simple, connected and undirected graph. Let $r,k$ be natural number. By a proper $k$-coloring of a graph $G$, we mean a map $ c : V (G) \rightarrow S$, where $|S| = k$, such that any two adjacent vertices receive different colors. An $r$-dynamic $k$-coloring is a proper $k$-coloring $c$ of $G$ such that $|c(N (v))| \geq min\{r, d(v)\}$ for each vertex $v$ in $V(G)$, where $N (v)$ is the neighborhood of $v$ and $c(S) = \{c(v) : v \in S\}$ for a vertex subset $S$ . The $r$-dynamic chromatic number, written as $\chi_r(G)$, is the minimum $k$ such that $G$ has an $r$-dynamic $k$-coloring. Note that the $1$-dynamic chromatic number of graph is equal to its chromatic number, denoted by $\chi(G)$, and the $2$-dynamic chromatic number of graph has been studied under the name a dynamic chromatic number, denoted by $\chi_d(G)$. By simple observation it is easy to see that $\chi_r(G)\le \chi_{r+1}(G)$, however $\chi_{r+1}(G)-\chi_r(G)$ can be arbitrarily large, for example $\chi(Petersen)=2, \chi_d(Petersen)=3$, but $\chi_3(Petersen)=10$. Thus, finding an exact values of $\chi_r(G)$ is significantly useful. In this paper, we will show some exact values of $\chi_r(G)$ when $G$ is an operation of special graphs.

Co-Authors A. Y. Harsya Agustina Muharromah, Agustina Alfian Futuhul Hadi Alfian Yulia Harsya, Alfian Yulia Antonius Cahya Prihandoko Arika Indah Kriatiana Awalin, Qonita Ilmi Cangul, Ismail Naci D. Dafik Dafik Dafik Dwi Agustin Retnowardani Dwi Noviani Sulisawati Firdaus Ubaidillah, Firdaus Firdausiyah, Iftitahul Gembong A. W. Hani'ah Zakin Herninda Lucky Oktaviana Ida Ariska Imro’atun Rofikah Ismail Naci Cangul Jannah, Excelsa Suli Wildhatul Karinda Rizqy Aprilia, Karinda Rizqy Kiki Kurdianto Kosala Dwidja Purnomo Kurniawati, Elsa Yuli Kusbudiono Kusbudiono, Kusbudiono Larasati, Indry Mardiyah, Fitriyatul Marsidi Marsidi Maylisa, Ika Nur Mohanapriya, N. Mursyidah, Indah Lutfiyatul N. Mohanapriya Novian Nur Fatihah Nur Asia Jamil, Nur Asia Nuraeni Mauliddatul Fikria Prihandini, Rafiantika Megahnia Putra, Eric Dwi Putri Rizky H.P, Putri Rizky Rafiantika Megahnia Prihandini Rahman, Md. Saidur Reyka Bella Desvandai Ridho Alfarisi, Ridho Riza Nurfadila Robiatul Adawiyah Rosita, Merlinda S Slamin Sherly Citra Wuni, Sherly Citra Sih Muhni Yunika, Sih Muhni Siswono, Hendrik Siti Aminatus Solehah Siti Latifah Sullystiawati, Lusia Herni Sunder, R. Ukas Alif Fuadi Viqedina Rizky Noviyanti Yessy Eki Fajar Reksi

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