Nilai Total Ketidakteraturan Titik pada Graf Series Parallel sp(m,3,3)
DOI:
https://doi.org/10.24252/msa.v9i2.25211Abstrak
Penelitian ini membahas tentang penentuannilai total ketidakteraturan titik pada Graf Series Parallel
sp (m,3,3). Penentuan nilai total ketidakteraturan titik pada
Graf Series Parallel sp(m,3,3) dilakukan dengan
menentukan batas bawah terbesar dan batas atas terkecil.
Batas bawah dianalisis berdasarkan sifat-sifat graf dan
Teorema pendukung lainnya, sedangkan batas atas
dianalisis dengan pemberian label pada titik dan sisi pada
Series Parallel. Berdasarkan hasil penelitian ini diperoleh
nilai total ketidakteraturan titik pada graf Series Parallel
???(??(?, 3,3)) = 3? + 1, untuk ? ≥ 3.
Referensi
[1] Ahmad, A., Baca, M., dan Bashir, Y, 2014,
“Total Vertex Irregularity Strength of
Certain Classes of Unisyclic Graphs” (Bull.
Math. Sci. Math Roumanie,Vol. 2)
[2] Ahmad, A, 2014, “Irregular Total Labeling
of Disjoint Union of Prisms and Cycles”
(Australasian Journal of Combinatorics,
Vol. 59).
[3] Baca, M., Jendrol., Miller, M., dan Ryan, J,
2007, “On Irregular total Labelings”
(Discrere Mathematics, Vol. 307)
[4] Kotzig, A., and Rosa, A, 1970, “Magic
Valuations of Finite Graphs”(Canadian
Mathematical Bulleting, Vol. 13)
[5] Marzuki, C., C, Laraza, dan Aryani, F, 2020,
“Nilai Total Ketidakteraturan Titik pada
Graf Series Parallel ??(?, 1,3)” (Jurnal
Sains Matematika dan Statistika, Vol. 6)
[6] Rajasingh, I., Rajan, B., dan Annama, V,
2012, “On Total Vertex Irregularity Strength
of Triangle Related Graphs” (Annals of Pure
and Applied Mathematics, Vol. 2)
[7] Rajasingh, I. dan Arockiamary, S. T, 2015,
“Total Edge Irregularity Strength Of Series
Parallel Graphs” (International Journal of
Pure and Applied Mathematics, Vol. 99)
[8] Riskawati, Nurdin, dan Kasmirah, 2019,
“Nilai Total Ketidakteraturan Titik pada
Graf Series Parallel ??(?, ?, 2)” (Axiomath
:Jurnal Matematika dan Aplikasinya, Vol. 1
No.2)
[9] Simajuntak, R. Susilawati dan Baskoro, E.T,
2020, “Total Vertex Irregularity Strength for
Trees with Many Vertices of Degree Two”
(Electronic Journal of Graph Theory and
Applications, Vol.8 No.2)
[10] Stewart, B.M, 1966, “Magic Graphs”
(Canadian Journal of Mathematics,Vol.18)
[11] Wallis, W. D, “Magic Graphs” (New Work
:Birkh?
̈ user Boston, 2001)
“Total Vertex Irregularity Strength of
Certain Classes of Unisyclic Graphs” (Bull.
Math. Sci. Math Roumanie,Vol. 2)
[2] Ahmad, A, 2014, “Irregular Total Labeling
of Disjoint Union of Prisms and Cycles”
(Australasian Journal of Combinatorics,
Vol. 59).
[3] Baca, M., Jendrol., Miller, M., dan Ryan, J,
2007, “On Irregular total Labelings”
(Discrere Mathematics, Vol. 307)
[4] Kotzig, A., and Rosa, A, 1970, “Magic
Valuations of Finite Graphs”(Canadian
Mathematical Bulleting, Vol. 13)
[5] Marzuki, C., C, Laraza, dan Aryani, F, 2020,
“Nilai Total Ketidakteraturan Titik pada
Graf Series Parallel ??(?, 1,3)” (Jurnal
Sains Matematika dan Statistika, Vol. 6)
[6] Rajasingh, I., Rajan, B., dan Annama, V,
2012, “On Total Vertex Irregularity Strength
of Triangle Related Graphs” (Annals of Pure
and Applied Mathematics, Vol. 2)
[7] Rajasingh, I. dan Arockiamary, S. T, 2015,
“Total Edge Irregularity Strength Of Series
Parallel Graphs” (International Journal of
Pure and Applied Mathematics, Vol. 99)
[8] Riskawati, Nurdin, dan Kasmirah, 2019,
“Nilai Total Ketidakteraturan Titik pada
Graf Series Parallel ??(?, ?, 2)” (Axiomath
:Jurnal Matematika dan Aplikasinya, Vol. 1
No.2)
[9] Simajuntak, R. Susilawati dan Baskoro, E.T,
2020, “Total Vertex Irregularity Strength for
Trees with Many Vertices of Degree Two”
(Electronic Journal of Graph Theory and
Applications, Vol.8 No.2)
[10] Stewart, B.M, 1966, “Magic Graphs”
(Canadian Journal of Mathematics,Vol.18)
[11] Wallis, W. D, “Magic Graphs” (New Work
:Birkh?
̈ user Boston, 2001)
Unduhan
Diterbitkan
2021-12-28
Cara Mengutip
[1]
R. Riskawati, E. Jalil, dan S. Ekawati, “Nilai Total Ketidakteraturan Titik pada Graf Series Parallel sp(m,3,3)”, MSA, vol. 9, no. 2, hlm. 128–135, Des 2021.
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