IJPAM: Volume 103, No. 2 (2015)
A FUZZY GRAPH
P.G. and Research Department of Mathematics
Jamal Mohamed College (Autonomous)
Trichirappalli, 620020, INDIA
Department of Mathematics
University of the Punjab
New Campus, Lahore, PAKISTAN
Abstract. In this paper, bondage and non-bondage set of a fuzzy graph are discussed. The bondage number and non-bondage number of a fuzzy graph G are defined. The upper bound for both and are given. Also some results on and are discussed. The exact values of and are determined for several classes of fuzzy graphs.
Received: March 25, 2015
AMS Subject Classification: 03E72, 05C40, 05C72
Key Words and Phrases: bondage set, bondage number, non-bondage set and non-bondage number
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DOI: 10.12732/ijpam.v103i2.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 215 - 226