Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On Strong Intervals in Fuzzy Graphs

On Strong Intervals in Fuzzy Graphs This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.09.002 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

On Strong Intervals in Fuzzy Graphs

Download PDF
10 pages

On Strong Intervals in Fuzzy Graphs

Abstract

AbstractIntervals and convexity play crucial roles in the applications of graph theory such as town planning and design of graphics. In this article, the concept of geodetic interval in graphs is extended to fuzzy graphs. Intervals are useful in the study of properties of fuzzy graphs which depend on the geodetic distance between vertices. The axiomatic definition of intervals in fuzzy graphs are used to define intervals in different fuzzy graph structures like fuzzy trees and complete fuzzy...
Loading next page...
 
/lp/taylor-francis/on-strong-intervals-in-fuzzy-graphs-B6d82fII8Q
Publisher
Taylor & Francis
Copyright
© 2017 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2017.09.002
Publisher site
See Article on Publisher Site

Abstract

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.09.002

Journal

Fuzzy Information and Engineering – Taylor & Francis

Published: Sep 1, 2017

Keywords: Geodesic distance; Fuzzy tree; Interval function; Strong path

References

  • Interval-valued fuzzy graphs
  • Geodesics in fuzzy graphs
  • Strong arcs in fuzzy graphs
  • Types of arcs in a fuzzy graph
  • Node connectivity and arc connectivity of a fuzzy graph
  • Cycles and cocycles of fuzzy graphs
  • The interval function of a graph
  • Axiomatic characterization of the interval function of a graph
  • Fuzzy graphs
  • Strong arcs and maximum spanning trees in fuzzy graphs
  • Characterisation of g-self centered fuzzy graphs
  • A characterization of fuzzy trees