A Graph Theoretic Approach to quantify the Conflict of Traffic Streams in a Traffic Intersection

Authors

  • Ankur Bharali Dibrugarh University

DOI:

https://doi.org/10.37591/rrdms.v5i2.1538

Keywords:

Compatibility graph, Eigenvector centrality, Traffic network

Abstract

A traffic intersection can be modelled by a graph by considering the streams as vertices and assigning an edge based on the mutually non-conflict streams. In this paper we propose a spectral approach to arrange the steams in order of their conflict and hence determine the most conflicted stream in a traffic intersection.

Author Biography

  • Ankur Bharali, Dibrugarh University
    Assistant Professor in the Dept of Mathematics

References

Guberinić, S., Senborn, G., Lazic, B., Optimal Traffic Control: Urban Intersections, CRC Press 2008.

West, D. B., Introduction to Graph Theory, Pearson, 2017.

Bonaicich P., Some unique properties of eigenvector centrality, Social Networks 29, 555-564, 2007.

Borgatti Stephen P., Centrality and network flow, Social Networks 27, 55-71, 2005.

Spizzirri L., Justification and application of eigenvector centrality, http://www.math.

washington.edu/morrow/336-11/papers/leo.pdf, March 6, 2011.

Roberts, Fred S., Graph Theory and its Applications to Problems of Society, SIAM, Philadelphia, 1978.

Reidel, T., Brunner, U., Traffic Control using Graph Theory, 12th IFAC World Congress,

Sydney, 1993.

Downloads

Published

2018-09-21

Issue

Vol. 5 No. 2 (2018)

Section

Research Articles

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.