Semi-Image Neighborhood Block Graphs with Crossing Numbers

Authors

  • K. M. Niranjan Gulbarga University, Gulbarga
  • P. Nagaraja S.J.M.I.T
  • Lokesh V VSK University

DOI:

https://doi.org/10.3329/jsr.v5i2.11019

Keywords:

Semi-Image, Neighborhood block, Crossing numbers.

Abstract

The advent of graph theory has played a prominent role in wide variety of engineering applications. Minimization of crossing numbers in graphs optimizes its use in many applications. In this paper, we establish the necessary and sufficient condition for Semi-Image neighborhood block graph to have crossing number 3. We also prove that the Semi-Image neighborhood block graph NBI(G) of a graph never has crossing numbers k, where    1 ? k ? 6.

Keywords: Semi-Image; Neighborhood block; Crossing numbers.

© 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi: http://dx.doi.org/10.3329/jsr.v5i2.11019        J. Sci. Res. 5 (2), 295-299 (2013)

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Author Biographies

K. M. Niranjan, Gulbarga University, Gulbarga

Department of  Mathematics and

Assistant Professor

P. Nagaraja, S.J.M.I.T

Department of Computer Science and Engineering, S.J.M.I.T, Chitradurga-577 502, Karnataka

Lokesh V, VSK University

Department of Mathematics, VSK University, Bellary, Karnataka

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Published

2013-04-22

How to Cite

Niranjan, K. M., Nagaraja, P., & V, L. (2013). Semi-Image Neighborhood Block Graphs with Crossing Numbers. Journal of Scientific Research, 5(2), 295–299. https://doi.org/10.3329/jsr.v5i2.11019

Issue

Vol. 5 No. 2 (2013)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

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