On construction of rhomtrees as graphical representation of rhotrices

A. Mohammed and B. Sani
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 17, 2011, Number 1, Pages 21—29
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Authors and affiliations

A. Mohammed

Department of Mathematics, Ahmadu Bello University
Zaria, Nigeria

B. Sani
Department of Mathematics, Ahmadu Bello University
Zaria, Nigeria

Abstract

We introduce the concept of rhomtrees as a graphical method of representing rhotrices and present the relationships of their graphs with existing graphical models of some real world situations. These models include the topology of computing network, energy resource distribution network, methane compound and certain products of sets.

Keywords

  • Rhotrices
  • Rhomtrees
  • Methane
  • Network topology
  • Product of sets

AMS Classification

  • 12D99

References

  1. Ajibade, A.O., (2003), The concept of rhotrix for mathematical enrichment, International Journal of Mathematical Education in Science and Technology, 34:2, 175–179.
  2. Atanassov, K.T. and Shannon, A,G., (1998), Matrix-tertions and matrix-noitrets: exercises in mathematical enrichment, International Journal of Mathematical Education in Science and Technology, 29, 898–903.
  3. Mohammed, A., (2007a), A Note on Rhotrix Exponent Rule and its Applications to Special Series and Polynomial Equations Defined over Rhotrices. Notes on Theory and Discrete Mathematics. 13:1, 1–15.
  4. Mohammed, A., (2007b), Enrichment Exercises Through Extension to Rhotrices. International Journal of Mathematical Education in Science and Technology. 38:1, 131–136.
  5. Mohammed, A., (2008), Rhotrices and their Applications in Enrichment of Mathematical Algebra. In the proceedings of 3rd International Conference on Mathematical Sciences (ICM -2008). Vol. 1, 145–154. United Arab Emirate University Press, Al-Ain.
  6. Mohammed, A., (2009), A Remark on Classifications of Rhotrices as Abstract Structures, International Journal of Research in Physical Sciences. 4:8 192–197.
  7. Mohammed, A., (2011), Theoretical development and applications of rhotrices, Ph.D dissertation, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
  8. Sani, B., (2004), An alternative method for multiplication of rhotrices, International Journal of Mathematical Education in Science and Technology, 35:5, 777–781.
  9. Sani, B., (2007), The row-column multiplication of high dimensional rhotrices, International Journal of Mathematical Education in Science and Technology, 38:5, 657–662.
  10. Seymour L. and Marc Lars L., M.S., (2002), Discrete Mathematics, Tata McGraw-Hill, New Delhi.

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Cite this paper

APA

Mohammed, A., & Sani, B. (2011). On construction of rhomtrees as graphical representation of rhotrices, Notes on Number Theory and Discrete Mathematics, 17(1), 21-29.

Chicago

Mohammed, A, and B Sani. “On Construction of Rhomtrees as Graphical Representation of Rhotrices.” Notes on Number Theory and Discrete Mathematics 17, no. 1 (2011): 21-29.

MLA

Mohammed, A, and B Sani. “On Construction of Rhomtrees as Graphical Representation of Rhotrices.” Notes on Number Theory and Discrete Mathematics 17.1 (2011): 21-29. Print.

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