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All Journal MAGISTRA BAREKENG: Jurnal Ilmu Matematika dan Terapan Indonesian Journal of Combinatorics Jurnal Matematika UNAND Jurnal Saintika Unpam : Jurnal Sains dan Matematika Unpam InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Pattimura Proceeding : Conference of Science and Technology Pattimura International Journal of Mathematics (PIJMath) Jurnal Matematika Integratif
Kiki Ariyanti Sugeng
Departemen Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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Journal : Indonesian Journal of Combinatorics

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On b-edge consecutive edge labeling of some regular tree Kiki Ariyanti Sugeng; Denny R. Silaban
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.2020.4.1.7

Abstract

Let G = (V, E) be a finite (non-empty), simple, connected and undirected graph, where V and E are the sets of vertices and edges of G. An edge magic total labeling is a bijection α from V ∪ E to the integers 1, 2, . . . , n + e, with the property that for every xy ∈ E, α(x) + α(y) + α(xy) = k, for some constant k. Such a labeling is called a b-edge consecutive edge magic total if α(E) = {b + 1, b + 2, . . . , b + e}. In this paper, we proved that several classes of regular trees, such as regular caterpillars, regular firecrackers, regular caterpillar-like trees, regular path-like trees, and regular banana trees, have a b-edge consecutive edge magic labeling for some 0 < b < |V |.
Eigenvalues of antiadjacency matrix of Cayley graph of Z_n Juan Daniel; Kiki Ariyanti Sugeng; Nora Hariadi
Indonesian Journal of Combinatorics Vol 6, No 1 (2022)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2022.6.1.5

Abstract

In this paper, we give a relation between the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) and the eigenvalues of the antiadjacency matrix of Cay(Z_n, (Z_n−{0})−S), as well as the eigenvalues of the adjacency matrix of Cay(Z_n, S). Then, we give the characterization of connection set S where the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) are all integers.
Co-Authors Afifan Hadi Arafah, Siti Hafshah Nurul Barack, Zeveliano Zidane Daniel, Juan Denny R. Silaban Denny Silaban Fery Firmansah Hariadi, Nora Haryeni, Debi Oktia Hirawati Lubis Ilham, Pandu Setya Irawan, Wahri Juan Daniel Kevin Akbar Listyaningrum, Rostika Muhammad Irfan Arsyad Prayitno Nugroho, Eri Paradise, Fadila Prayitno, Muhammad Irfan Arsyad Rizqi Rachmadhani Rostika Listyaningrum