\(C_{m}\)-supermagic labeling of polygonal snake graphs

Volume 20, Issue 3, pp 189--195 http://dx.doi.org/10.22436/jmcs.020.03.01

Publication Date: November 13, 2019 Submission Date: July 02, 2019 Revision Date: September 09, 2019 Accteptance Date: September 18, 2019

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 1621 Downloads
• 3478 Views

Authors

Tarkan Öner - Department of Mathematics, Mugla Sitki Kocman University, Mugla, Turkey. Muhammad Hussain - Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan. Shakila Banaras - Department of Mathematics, GC University, Katchery Road, Lahore, Pakistan.

Abstract

An \(H\)-supermagic labeling of a graph \(G\) admitting an \(H\)-covering was defined by Gutiérrez and Lladó [A. Gutiérrez, A. Lladó, J. Combin. Math. Combin. Comput., \(\bf 55\) (2005), 43--56]. In this work, we shall show that polygonal snake graphs admit \(C_{m}\)-supermagic labeling.

Share and Cite

Keywords

• \(H\)-magic labeling
• \(H\)-supermagic labeling
• triangular snake
• \(m\)-polygonal snake

MSC

•  05C78

References

• [1] J. A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin., 5 (1998), 43 pages
  • View Article
  • MathSciNet
  • MATH


• [2] A. Gutiérrez, A. Lladó, Magic covering, J. Combin. Math. Combin. Comput., 55 (2005), 43--56
  • MathSciNet


• [3] P. Jeyanthi, P. Selvagopal, $H$-Super magic strength of some graphs, Tokyo J. Math., 33 (2010), 499--507
  • View Article
  • Google Scholar


• [4] P. Jeyanthi, P. Selvagopal, Supermagic coverings of some simple graphs, Int. J. Math. Comb., 1 (2011), 33--48
  • View Article
  • Google Scholar
  • MATH


• [5] P. Jeyanthi, P. Selvagopal, Some $C_4$ Super magic graphs, Ars Comb., 111 (2013), 129--136
  • Google Scholar


• [6] P. Jeyanthi, P. Selvagopal, S. S. Sundaram, Some $C_3$-supermagic graphs, Util. Math., 89 (2012), 579--366
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [7] K. M. Kathiresan, G. Marimuthu, C. Chithra, $C_m$-supermagic labeling of graphs, Electron. Notes Discrete Math., 48 (2015), 189--196
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [8] T. Kojima, On $C_4$-supermagic labelings of the Cartesian product of paths and graphs, Discrete Math., 313 (2013), 164--173
  • View Article
  • MathSciNet
  • Google Scholar


• [9] A. Lladó, J. Moragas, Cycle-magic Graphs, Discrete Math., 307 (2007), 2925--2933
  • View Article
  • Google Scholar
  • MATH


• [10] T. K. Maryati, E. T. Baskoro, A. N. M. Salaman, $P_{h}$-supermagic labelings of some trees, J. Combin. Math. Combin. Comput., 65 (2008), 197--204
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [11] A. A. G. Ngurah, A. N. M. Salman, L. Susilowati, $H$-supermagic labeling of graphs, Discrete Math., 310 (2010), 1293--1300
  • View Article
  • MathSciNet
  • Google Scholar


• [12] A. Rosa, On certain valuations of the vertices of a graph, International Symposium (Rome, Italy), 1996 (1996), 349--355
  • MathSciNet
  • Google Scholar
  • MATH


• [13] M. Roswitha, E. T. Baskoro, T. K. Maryati, N. A. Kurdhi, I. Susanti, Further results on cycle-supermagic labeling, AKCE Int. J. Graphs Comb., 10 (2013), 211--220
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [14] P. Selvagopal, P. Jeyanthi, On $C_{k}$-super magic graphs, Int. J. Math. Comput. Sci., 3 (2008), 25--30
  • View Article