Some Applications of Labelled Graphs
![]() |
International Journal of Mathematics Trends and Technology (IJMTT) | ![]() |
© 2016 by IJMTT Journal | ||
Volume-37 Number-3 |
||
Year of Publication : 2016 | ||
Authors : A. Krishnaa |
||
![]() |
A. Krishnaa "Some Applications of Labelled Graphs", International Journal of Mathematics Trends and Technology (IJMTT). V37(3):209-213 September 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.
Abstract
This paper presents some applications of
labelled graphs of different kinds of labellings
alongwith various kinds of graphs serving as models
for the applications.
References
[1] J.W. Daykin, C.S. Iliopoulos, M. Miller, P. Phanalasy P.,
Antimagicness of Generalized Corona and Snowflake
Graphs, Mathematics in Computer Science, 9(1), 105-
111, 2015.
[2] Deo Narsingh , Graph Theory with Applications to
Engineering and Computer Science, Prentice-Hall of
India Pvt. Ltd., New Delhi, India, 2003.
[3] T. Grace , Sequential Labellings of Graphs, J. Graph
Theory, 196-201, 1983.
[4] Graham and Sloane, On Additive Bases and Harmonious
Graphs, SIAM J Algebraic Discrete Methods, 382-304,
1980.
[5] N. Hartsfield, G. Ringel G., Pearls in Graph Theory : A
Comprehensive Introduction, Academic Prress Inc.,
Boston, USA, 1990.
[6] Imran M., Siddiqui M. K., Numan M. , U.P.B. Sci. Bull.,
Series A, 77(2),227-240, 2015.
[7] A. Krishnaa , A Study of the Major Graph Labelings of
Trees, Informatica, 15(4), 515-524, 2004.
[8] A. Krishnaa , M.S. Dulawat , Algorithms for Inner Magic
and Inner Antimagic Labelings of Some Planar Graphs,
Informatica, 17(3), 393-406, 2006
[9] A. Krishnaa and M.S. Dulawat , Lexicographic Ordering
in Graph Labellings of Cycles, Paths and Complete
Bipartite Graphs, South East Asian Journal of
Mathematics and Mathematical Sciences, 7(2), 87-93,
2009.
[10] A. Krishnaa, On the Use of Computers in Graph Labeling,
International Journal of Computer Science and
Communication, 3(1), 191-197, 2012.
[11] A. Krishnaa, On Antimagic Labellings of Some Cycle
Related Graphs, J. of Discrete Mathematical Sciences
and Cryptography, 15(4 & 5), 225-235, 2012.
[12] A. Krishnaa , A Note on Some Thoughts on the Graceful
Tree Conjecture, J. of Discrete Mathematical Sciences and
Cryptography, 16 (6), 387-392, 2013.
[13] A. Krishnaa , Formulas and Algorithms of Antimagic
Labelings of Some Helm Related Graphs, J. of Discrete
Mathematical Sciences and Cryptography, 19(2), 435-
445, 2016.
[14] S.M. Lee , Schmeichel, S.C. Shee , On Felicitous Graphs,
Discrete Mathematics, 93, 201-209, 1991.
Keywords
graceful, felicitous, harmonious, magic,
Antimagic, inner magic, inner antimagic, sequential.