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2012 | 32 | 3 | 535-543
Tytuł artykułu

On super (a,d)-edge antimagic total labeling of certain families of graphs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A (p, q)-graph G is (a,d)-edge antimagic total if there exists a bijection f: V(G) ∪ E(G) → {1, 2,...,p + q} such that the edge weights Λ(uv) = f(u) + f(uv) + f(v), uv ∈ E(G) form an arithmetic progression with first term a and common difference d. It is said to be a super (a, d)-edge antimagic total if the vertex labels are {1, 2,..., p} and the edge labels are {p + 1, p + 2,...,p + q}. In this paper, we study the super (a,d)-edge antimagic total labeling of special classes of graphs derived from copies of generalized ladder, fan, generalized prism and web graph.
Wydawca
Rocznik
Tom
32
Numer
3
Strony
535-543
Opis fizyczny
Daty
wydano
2012
otrzymano
2011-03-15
poprawiono
2011-08-02
zaakceptowano
2011-09-23
Twórcy
  • Department of Mathematics, D.B. Jain College, Chennai - 600097, Tamil Nadu, India
autor
  • Department of Mathematics, B.S. Abdur Rahman University, Chennai - 600048, Tamil Nadu, India
Bibliografia
  • [1] M. Bača and C. Barrientos, Graceful and edge antimagic labelings, Ars Combin. 96 (2010) 505-513.
  • [2] M. Bača, Y. Lin, M. Miller and R. Simanjuntak, New construction of magic and antimagic graph labeling, Util. Math. 60 (2001) 229-239.
  • [3] H. Enomoto, A.S. Llodo, T. Nakamigawa and G. Ringel, Super edge magic graphs, SUT J. Math. 34 (1998) 105-109.
  • [4] R.M. Figueroa-Centeno, R. Ichishima and F.A. Muntaner-Batle, The place of super edge magic labelings among other classes of labelings, Discrete Math. 231 (2001) 153-168, doi: 10.1016/S0012-365X(00)00314-9.
  • [5] J. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. 17 (2010) #DS6.
  • [6] F. Harrary, Graph Theory ( Addison-Wesley, 1994).
  • [7] N. Hartsfield and G. Ringel, Pearls in Graph Theory (Academic Press, Boston, San Diego, New York, London, 1990).
  • [8] S.M. Hegde and Sudhakar Shetty, On magic graphs, Australas. J. Combin. 27 (2003) 277-284.
  • [9] A. Kotzig and A. Rosa, Magic valuation of finite graphs, Canad. Math. Bull. 13 (1970) 451-461, doi: 10.4153/CMB-1970-084-1.
  • [10] R. Simanjuntak, F. Bertault and M. Miller, Two new (a, d)-antimagic graph labelings, Proc. Eleventh Australian Workshop Combin. Algor., Hunrer Valley, Australia (2000) 179-189.
  • [11] K.A. Sugeng and M. Miller, Relationship between adjacency matrices and super (a, d)-edge antimagic total labelings of graphs, J. Combin. Math. Combin. Comput. 55 (2005) 71-82.
  • [12] K.A. Sugeng, M. Miller and M. Bača, Super edge antimagic total labelings, Util. Math. 71 (2006) 131-141.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1623
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