Journal

Article title

Content

Title variants

Languages of publication

Abstracts

Discipline

Publisher

Journal

Year

Volume

Pages

40-61

Physical description

Contributors

author

- Department of Mathematics, The Madurai Diraviyam Thayumanavar Hindu College, Tirunelveli, Tamil Nadu, India

author

References

- [1] F. Harary, Graph Theory, Adision - Wesley, Reading Mass, 1969.
- [2] K. R. Parthasarathy, Basic Graph Theory, Tata Mcgraw Hill Publishing Company Limited, 1994
- [3] M. Apostal, Introduction to Analytic Number Theory, Narosa Publishing House, Second Edition, 1991.
- [4] David M. Burton, Elementary Number Theory, Second Edition, Wm. C. Brown Company Publishers, 1980.
- [5] I. Niven and Herbert S. Zuckerman, An Introduction to the Theory of Numbers, Wiley Eastern Limited, Third Edition, 1991
- [6] A. Rosa, On Certain Valuations of the Vertices of a Graph, Theory of Graphs (Proc. International Symposium, Rome, 1966), Gordon and Breach, N. Y and Dunad Paris (1967), 349-355
- [7] S. W. Golomb, How to Number a Graph, Graph Theory and Computing, R. C. Read, Academic Press, New York (1972), 23-37
- [8] B. D. Acharya, Construction of Certain Infinite Families of Graceful Graphs from a given graceful graph. Def. Sci. J. 32(3), (1982), 231-236
- [9] S. Mahendran and K. Murugan, Pentagonal Graceful Labeling of Some Graphs. World Scientific News 155 (2021) 98-112
- [10] R. Sakthi Sankari and M. P. Syed Ali Nisaya, Seond Order Triangular Gracful Graphs. World Scientific News 155 (2021) 140-154
- [11] N. Meena, M. Madhan Vignesh. Strong Efficient Co-Bondage Number of Some Graphs. World Scientific News 145 (2020) 234-244
- [12] J. A. Gallian, A Dynamic survey of Graph labeling, The Electronic Journal of Combinatorics, 22 (2019), #DS6
- [13] M. Basker, P. Namasivayam, M. P. Syed Ali Nisaya. Some Results on Centered Triangular Sum Graphs. World Scientific News 155 (2021) 113-128
- [14] K. Murugan, Square graceful labeling of Some Graphs. International Journal of Innovative Research in Science, Engineering and Technology 4(2) (2015) 511-520
- [15] S. Murugesan, D. Jayaraman, J. Shiama, Some Higher Order Triangular Sum Labeling of Graphs. International Journal of Computer Applications, 72(10) (2013) 1-8
- [16] D. S. T. Ramesh and M. P. Syed Ali Nisaya. Some Important Results on Pentagonal Graceful Graphs. International Journal of Applied Mathematical Sciences, 7(1) (2014) 71-77
- [17] D. S. T. Ramesh and M. P. Syed Ali Nisaya. Some More Polygonal Graceful Labeling of Path. International Journal of Imaging Science and Engineering, 6(1) (2014) 901-905
- [18] R. Sivaraman, Graceful Graphs and its Applications. International Journal of Current Research, 8(11), (2016), 41062-41067
- [19] M. P. Syed Ali Nisaya and D. S. T. Ramesh, Pentagonal graceful labeling of Caterpillar Graphs. International Journal of Engineering Devlopment and Research 6(4) (2018) 150-154
- [20] G. Muppidathi Sundari, K. Murugan. Extra Skolem Difference Mean Labeling of Some Graphs. World Scientific News 145 (2020) 210-221
- [21] G. Muthumanickavel, K. Murugan. Oblong Sum Labeling of Union of Some Graphs. World Scientific News 145 (2020) 85-94
- [22] Somasundaram and Ponraj, Mean labeling of Graphs. National Academy Science Letters (26) (2003) 210-213
- [23] K. Thajeswari, S. Kirupa, Application of Graceful Graph in MPLS. International Journal for Scientific Research and Development, Vol. 6, Issue 06, (2018) 196-198
- [24] Vasuki, A. Nagarajan and S. Arockiaraj, Even Vertex Odd Mean Labeling of Graphs. Sut J. Math 49(2) (2013) 79-92
- [25] Frank Werner. Graph Theoretic Problems and their New Applications. Mathematics, S 445 (2020) 1-4
- [26] M. Prema and K. Murugan, Oblong sum labeling of some graphs. World Scientific News 98 (2018) 12-22
- [27] M. Vanu Esakki and M. P. Syed Ali Nisaya. Two Modulo Three Sum Graphs. World Scientific News 145 (2020) 274-285
- [28] Venkatesh Srinivasan, Natarajan Chidambaram, Narasimhan Devadoss, Rajadurai Pakkirisamy & Parameswari Krishnamoorthi (2020) On the gracefulness of m-super subdivision of graphs, Journal of Discrete Mathematical Sciences and Cryptography, 23:6, 1359-1368, DOI: 10.1080/09720529.2020.1830561
- [29] H. Yang, M.A. Rashid, S. Ahmad, M.K. Siddiqui, M. F. Hanif. Cycle super magic labeling of pumpkin, octagonal and hexagonal graphs. Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1165-1176, (2019). DOI: 10.1080/09720529.2019.1698800
- [30] L. Yan, Y. Li, X. Zhang, M. Saqlain, S. Zafar, M.R. Farahani. 3-total edge product cordial labeling of some new classes of graphs. Journal of Information & Optimization Sciences, 39(3) 2018, 705–724. DOI:10.1080/02522667.2017.1417727
- [31] X. Zhang, F.A.Shah, Y. Li, L.Yan, A.Q. Baig, M.R. Farahani. A family of fifth-order convergent methods for solving nonlinear equations using variational iteration technique. Journal of Information and Optimization Sciences, 39(3), 2018, 673–694. DOI:10.1080/02522667.2018.1443628
- [32] Xiaojing Yang, Junfeng Du, Liming Xiong. Forbidden subgraphs for supereulerian and Hamiltoniangraphs. Discrete Applied Mathematics Volume 288, 15 January 2021, Pages 192-200. https://doi.org/10.1016/j.dam.2020.08.034
- [33] Kostochka, Alexandr, Yager, Derrek, Yu, Gexin 2020. Disjoint Chorded Cycles in Graphs with High Ore-Degree. Discrete Mathematics and Applications Vol. 165, p. 259. https://doi.org/10.1007/978-3-030-55857-4_11
- [34] Costalonga, J.P., Kingan, Robert J., Kingan, Sandra R. 2021. Constructing Minimally 3-Connected Graphs. Algorithms, Vol. 14, Issue. 1, p. 9. https://doi.org/10.3390/a14010009
- [35] Sullivan K, Rutherford D, Ulness DJ. Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions. Mathematics 2019; 7(11): 1021. https://doi.org/10.3390/math7111021
- [36] M. Vanu Esakki, M. P. Syed Ali Nisaya, Some Results on Two Modulo Three Sum Graphs. Journal of Xidian University, 14(9) (2020) 1090-1099
- [37] Chiba, Shuya, Yamashita, Tomoki, 2018. Degree Conditions for the Existence of Vertex-Disjoint Cycles and Paths: A Survey. Graphs and Combinatorics, Vol. 34, Issue. 1, p. 1. https://doi.org/10.1007/s00373-017-1873-5
- [38] Molla, Theodore; Santana, Michael; Yeager, Elyse, 2020. Disjoint cycles and chorded cycles in a graph with given minimum degree. Discrete Mathematics, Vol. 343, Issue. 6, p. 111837. https://doi.org/10.1016/j.disc.2020.111837

Document Type

article

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.psjd-ed0e2587-e5d1-478f-86e7-f2dfac30fc53