Research ArticleOpen AccessGoogle Scholar indexed
Farey Triangle Graphs and Farey Triangle Matrices
Department of Mathematics, Government Arts College, Trichy, India
Department of Mathematics, Government Arts College, Trichy, India
- 1 Department of Mathematics, Government Arts College, Trichy, India
- 2 Department of Mathematics, Government Arts College, Trichy, India
Advances in Pure Mathematics·Volume 05 (2015)·Pages 738–744·Published 13 October 2015·DOI10.4236/apm.2015.512067
Copy link · social · email
Abstract
In this paper, we introduce Farey triangle graph , Farey triangle matrix , complementary Farey triangle graph and complementary Farey triangle matrix , and we derive some properties of the following matrices.
KeywordsFarey Triangle GraphFarey Triangle MatrixComplementary Farey Triangle GraphComplementary Farey Triangle Matrix
- Redmond, D. (1996) Number Theory: An Introduction. Marcel Dekker, Inc., New York.
- Gnanam, A., Gopalan, M.A. and Dinesh, C. (2015) Farey Matrix. International Journal of Mathematics Trends and Techonology, 19. http://dx.doi.org/10.14445/22315373/IJMTT-V19P501
- Hardy, G.H. and Wright, E.M. (1975) An Introduction to the Theory of Numbers. 4th Edition, The Clarendon Press, Oxford.
- Nogueria, A. and Sevennec, B. (2006) Multidimensional Farey Partitions. Indagationes Mathematicae, 17, 437-456. http://dx.doi.org/10.1016/S0019-3577(06)80043-1
- Zhang, Z.Z., Wu, B. and Lin, Y. (2012) Counting Spanning Trees in a Small-World Farey Graph. Physica A: Statistical Mechanics and Its Applications, 391, 3342-3349. http://dx.doi.org/10.1016/j.physa.2012.01.039
- Kwak, J.H. and Hong, S. (2010) Linear Algebra. Springer International Edition.