Total Vertex Irregularity Strength dari Graf Buku

Rismawati Ramdani

Abstract


Abstrak

Pelabelan total vertex irregular dari suatu graf, dengan  titik dan  sisi, adalah pemetaan  yang memenuhi  berbeda untuk setiap . Nilai disebut bobot dari titik  Total vertex irregularity strength dari  dinotasikan dengan  adalah  terkecil sehingga  memiliki pelabelan total vertex irregular. Pada makalah ini, dikaji pelabelan total vertex irregular pada graf buku . Hasil utama yang diperoleh dari penelitian ini adalah .

 

Kata kunci: pelabelan total vertex irregular, total vertex irregularity strength, graf buku .


References


. J.A. Bondy, U.S.R. Murty,( 1976), Graph Theory with Application, Macmillan, London and Elsevier, New York.

. M. Bača, Stanislav jendrol, Mirka Miller, Joseph Ryan, (2007) On Irregular Total labeling, Discrete Mathematics 307, 1378-1388.

. K. Wijaya, Slamin, Surahmat, Stanislav Jendrol, (2005), Total Vertex Irregular labeling of Complete Bipartite Graphs, The Journal of Combinatorical Mathematics and Combinatorical Computing (JCMCC) 55, 129-136.

. K. Wijaya, Slamin, (2008), Total Vertex Irregular Labeling of Wheels, Fans, Suns, and Friendship Graphs, The Journal of Combinatorical Mathematics and Combinatorical Computing (JCMCC) 65, 103-112.

. J. A. Gallian, (2011)A Dynamic Survey of Graph Labeling, tenth edition, The Electronic Journal of Combinatorics 18.

. Muhammad K.S, Deeba Afzal, (2011), On tvs of Subdivision of Star, Australian Journal of Basic and Applied Sciences, 5(11): 2146-2156.

. Slamin, Dafik,Wyse Winnona, (2012). Total Vertex Irregularity strength of The Disjoint Union of Sun Graphs, International Journal of Combinatorics Vol. 2012, Article ID 284384 .

. N.S.Hungund, D.G.Akka, (2011). Total Irregularity Strength of Triangular Snake and Double Triangular Snake, International Referred Research Journal, ISSN – 0974-2832 RNI-RAJBIL 2009/29954 Vol. III 67-69.

. M. Anholcer, M. Karon’nski, (2011). Total vertex irregularity strength of forests, arXiv:1103.2087v1[math.CO]

. Syed A. Bokhary, Imran Javaid, (2010). On Vertex Irregular Total Labeling of Some Convex Polytopes, Higher Education Commission, Pakistan, Ref no: PM-IPFP/HRD/HEC/2010/1619.

. Marcin A., Cory Palmer, (2010). Irregular Labellings of Circulant Graph, MSC: 05C7.




DOI: https://doi.org/10.29313/jmtm.v10i1.3492

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