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Journal of Discrete Mathematical Sciences and Cryptography Volume 22, 2019 - Issue 1
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Articles

A sufficient condition for r - graphic sequences to be potentially

Bilal A. ChatDepartment of Mathematical Sciences, Islamic University of Science and Technology, Awantipora192122, Pulwama, Jammu and Kashmir, India, E-mail: [email protected]
,
U. SameeDepartment of Mathematics, Islamia College for Science and Commerce, Hawal191202, Srinagar, Jammu & Kashmir, India, E-mail: [email protected]
&
S. PirzadaDepartment of Mathematics, University of Kashmir, Hazratbal190006, Srinagar, Jammu & Kashmir, IndiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-1137-517X
ORCID Icon
Pages 1-8 | Received 01 Jul 2017, Published online: 12 Feb 2019

References

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  • T. T. Chelvam and S. R. Chellathurai, A note on split domination number of a graph, Journal of Discrete Mathematical Sciences & Cryptography 12(2) (2009) 179–186. doi: 10.1080/09720529.2009.10698228
  • P. Erdös, M. S. Jacobson and J. Lehel, Graphs realising the same degree sequences and their respective clique numbers, in: Y. Alavi (Ed.), Graph Theory, Combinatorics and Applications, John Wiley and Sons, New York, 1 (1991) 439–449.
  • R. J. Gould, M. S. Jacobson and J. Lehel, Potentially G - graphical degree sequences, in: Y. Alavi (Ed), Combinatorics, Graph Theory and Algorithms, New Issues Press, Kalamazoo Michigan, 1 (1999) 451–460.
  • J. S. Li and Z. X. Song, An extremal problem on the potentially pK -graphic sequence, Disc. Math. 212 (2000) 223–231. doi: 10.1016/S0012-365X(99)00289-7
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  • J. S. Li, Z. X. Song and R. Luo, The Erdös-Jacobson-Lehel conjecture on potentially pK - graphic sequences is true, Sci. China Ser.A 41 (1998) 510–520. doi: 10.1007/BF02879940
  • S. Pirzada, An Introduction to Graph Theory, Universities Press, Orient Blackswan (2012) India.
  • S. Pirzada and Bilal A Chat, Potentially graphic sequences of Split Graphs, Kragujevac J. Math 38, 1 (2014) 73–81. doi: 10.5937/KgJMath1401073P
  • S. Pirzada, Bilal A. Chat and Farooq A. Dar, Graphical sequences of some of induced subgraphs, J. Algebra Comb. Disc. Appl. 2, 2 (2015) 21–35.
  • S. Pirzada and Bilal A Chat, The condition for a graphic sequence to be potentially AL, M - graphic, Transactions on Combinatorics 6, 1 (2017) 21–27.
  • S. Pirzada, Bilal A. Chat and U. Samee, On multigraphic and potentially multigraphic sequences, Acta. Univ. Sap. Informatica 9, 1 (2017) 35–48. doi: 10.1515/ausi-2017-0003
  • S. Pirzada and J. H. Yin, Degree sequences in graphs, J. Math. Study 39, 1 (2006) 25–31.
  • J. H. Yin, Conditions for r-graphic sequences to be potentially - graphic, Disc. Math. 309 (2009) 6271–6276. doi: 10.1016/j.disc.2009.06.014
  • J. H. Yin, A generalization of a conjecture due to Erdös, Jacobson and Lehel, Disc. Math. 309 (2009) 2579–2583. doi: 10.1016/j.disc.2008.04.057

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