Fuzzy Threshold Graph

Madhumangal Pal (), Sovan Samanta and Ganesh Ghorai
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Madhumangal Pal: Vidyasagar University, Department of Applied Mathematics
Sovan Samanta: Tamralipta Mahavidyalaya, Department of Mathematics
Ganesh Ghorai: Vidyasagar University, Department of Applied Mathematics

Chapter Chapter 5 in Modern Trends in Fuzzy Graph Theory, 2020, pp 145-152 from Springer

Abstract: Abstract In 1973, Chvatal and Hammer [2] introduced threshold graphs and applied them in set packing problems. This particular class of graphs has many applications in several applied areas such as computer science, scheduling theory, psychology, etc. These graphs are also used in control theory, particularly to control the flow of information between processors, traffic lights controlling system to manage the flow of the traffic, etc. Ordman [4] established the use of these graphs in resource allocation problems. In this chapter, fuzzy threshold graph (FTG) is defined and some of its important properties are investigated. Here, we use the notation $$\mathscr {C}_n$$ , $$\mathscr {P}_n$$ , $$\mathscr {K}_n$$ for fuzzy cycle, fuzzy path, complete fuzzy graph respectively with n vertices. This work is mainly from [8, 9]. Related works are available in [1, 3, 6, 10, 11].

Date: 2020
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DOI: 10.1007/978-981-15-8803-7_5

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