Farey Triangle Graphs and Farey Triangle Matrices


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.

Share and Cite:

Gnanam, A. and Dinesh, C. (2015) Farey Triangle Graphs and Farey Triangle Matrices. Advances in Pure Mathematics, 5, 738-744. doi: 10.4236/apm.2015.512067.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Redmond, D. (1996) Number Theory: An Introduction. Marcel Dekker, Inc., New York.
[2] Gnanam, A., Gopalan, M.A. and Dinesh, C. (2015) Farey Matrix. International Journal of Mathematics Trends and Techonology, 19.
[3] Hardy, G.H. and Wright, E.M. (1975) An Introduction to the Theory of Numbers. 4th Edition, The Clarendon Press, Oxford.
[4] Nogueria, A. and Sevennec, B. (2006) Multidimensional Farey Partitions. Indagationes Mathematicae, 17, 437-456.
[5] 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.
[6] Kwak, J.H. and Hong, S. (2010) Linear Algebra. Springer International Edition.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.