Back
 APM  Vol.5 No.12 , October 2015
Farey Triangle Graphs and Farey Triangle Matrices
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.
Cite this paper: 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.
References

[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.
http://dx.doi.org/10.14445/22315373/IJMTT-V19P501

[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.
http://dx.doi.org/10.1016/S0019-3577(06)80043-1

[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.
http://dx.doi.org/10.1016/j.physa.2012.01.039

[6]   Kwak, J.H. and Hong, S. (2010) Linear Algebra. Springer International Edition.

 
 
Top