On Geometric Models in modern computing and networking

α
Dr. J. V. Ramana Raju
Dr. J. V. Ramana Raju
σ
T. Venkatesh
T. Venkatesh
α Jain University, Bangalore.

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On Geometric Models in modern computing and networking

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Abstract

This paper discusses a few geometric models that have been of great utility in the modern technologically dominated society. Under the setting of topological manifolds the mathematical concepts underlying computer graphics have been explored. Other applications of the theory of manifolds in computer science and communication technology namely in codes, ciphers and networks are described. Using the concept of triangulations and homology we describe a discrete model concerning the networked environment.

References

9 Cites in Article
  1. W Boothby (2002). Introduction to Differentiable Manifolds and Riemannian Geometry.
  2. James Munkres (1996). Elements of Algebraic Topology.
  3. Gu,Yau (2003). Surface classification using conformal structures.
  4. Carrol (2003). Space-Time and Geometry, an Introduction to General Relativity.
  5. Chandrajit Bajaj (1990). Chapter 2: Surface Fitting Using Implicit Algebraic Surface Patches.
  6. J Pan,Y Hon,Lin Cai,Yi Shi,S Shen (2003). Topology Control for Wireless Sensor Networks.
  7. D Estrin,D Culler,K Pister,G Sukhatme (2002). Connecting the physical world with pervasive networks.
  8. Robert Van De Silva,Ghrist (2007). Homological Sensor Networks.
  9. M Seppala,P Buser (2003). Triangulations and Homology of Riemann Surfaces.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. J. V. Ramana Raju. 2012. \u201cOn Geometric Models in modern computing and networking\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F4): .

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Issue Cover
GJSFR Volume 12 Issue F4
Pg. 39- 44
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

April 17, 2012

Language
en
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This paper discusses a few geometric models that have been of great utility in the modern technologically dominated society. Under the setting of topological manifolds the mathematical concepts underlying computer graphics have been explored. Other applications of the theory of manifolds in computer science and communication technology namely in codes, ciphers and networks are described. Using the concept of triangulations and homology we describe a discrete model concerning the networked environment.

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On Geometric Models in modern computing and networking

Dr. J. V. Ramana Raju
Dr. J. V. Ramana Raju Jain University, Bangalore.
T. Venkatesh
T. Venkatesh

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