A Note on Fuzzy Edge Magic Total Labeling Graphs

Shanmugapriya, R.; Hemalatha, P.

doi:10.1002/9781119763437.ch13

Cited by 4 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 2014, Sandhya and Somasundaram [4] explored geometric mean labeling using a double quadrilateral snake. In [5], the authors investigated various additional findings and behavior of some standard graphs with regards to labeling of super geometric mean. The Geometric labeling mean behaviour of subdivision on several standard graphs are investigated in [6].…”

Section: Review Of Literaturementioning

confidence: 99%

A Modified Fuzzy Labeling Graph using Geometric Mean and Harmonic mean and its Application

Et al.

2023

anvi

View full text Add to dashboard Cite

The Modified Fuzzy Labeling Graph (MFLG) has gained popularity in the field of image processing due to its ability to accurately represent complex images. However, there are limitations to the MFLG approach that can be addressed through the use of geometric mean and harmonic measures. In this paper, the authors propose a new idea on a modified fuzzy labeling graph. A Modified fuzzy (M ) graph σ is a function from V to [0,1] and µ is a function from E to [0,1] where ∀ . The modified fuzzy labeling has an edge value, which is less than or equal to the maximum of two endpoints that is To obtain the result, the edge weight is assigned as Geometric labeling mean, where W(e) is equal to the square root of two end points. The edge weight is assigned as Harmonic mean labeling, which is . The study examines the modified fuzzy labeling for the different graphs including Alternate Pentagon snake graph, Alternate Double Pentagon snake graph, and Alternate Triple Pentagon snake graphs using Geometric mean; and the discussed , D and Quadrilateral snake graph using Harmonic mean. Graph that permits modified fuzzy (MFL) labeling is called a . Some of the properties and results thereof have been explained. The authors also discuss an application of critical path method in Operation Research for students Higher studies problem.

show abstract

Section: Review Of Literaturementioning

confidence: 99%

A Modified Fuzzy Labeling Graph using Geometric Mean and Harmonic mean and its Application

Et al.

2023

anvi

View full text Add to dashboard Cite

show abstract

“…Tamanu oil consists of fatty acids (70-80%) [74] and resin parts that contain primary bioactive compounds (15-20%) such as sterols, coumarin, triterpenoids, and flavonoids [75]. The bioactive compound of tamanu oil is capable of absorbing UV A and UV B [76], and has anti-inflammatory, antioxidant, antimicrobial, analgesic, wound remedy [77], antitumor [78], antiviral, anticancer, antiplatelet, and anti-ulcer properties [79]. The fatty acid composition has an important role in the physicochemical attributes of biodiesel, as well as cosmetics and medicine.…”

Section: Calophyllummentioning

confidence: 99%

Enabling Factors of NTFP Business Development for Ecosystem Restoration: The Case of Tamanu Oil in Indonesian Degraded Peatland

Ulya¹,

Martin²,

Rahmat³

et al. 2022

Sustainability

View full text Add to dashboard Cite

Indonesia’s tropical peatlands are one of the world’s largest carbon sinks, and they are facing the threat of extensive degradation and conversion. The Indonesian government is committed to peat restoration. However, restoration is still a costly, top-down approach lacking community participation, and is focused on the 3R scheme (rewetting, revegetation, and revitalization). Peatland restoration businesses are part of the innovative effort to finance this endeavor. Unfortunately, there is not much information available about the pre-conditions required to create a restoration business. This study seeks to understand the enabling conditions for the development of peatland restoration, with a focus on the tamanu oil business, and to assess whether the same situation might apply in the context of the restoration of degraded peatland. PEST analysis is used to describe the macro-environmental factors of the tamanu oil business and its development opportunities in degraded peatlands. Tamanu oil-based peat ecosystem restoration businesses offer good prospects because of the growing it has grown the bioenergy and biomedical markets, and they can cover a larger area of degraded peatland landscape. For tamanu oil businesses to succeed in peat ecosystem restoration, we recommend that policy documents at various levels include tamanu as a priority commodity for peatland restoration and alternative community businesses, followed by planting programs by all stakeholders. The government and social organizations must take positions as initiators and catalysts, establish a significant number and extent of pilot tamanu plantations, and create a mutually supportive business climate between entrepreneurs and peatland managers.

show abstract

“…Sujatha et al [7,8] proved some outcomes on graceful FL, magic FL, and Triangular anti-magic FL in an algorithmic approach for some unique graphs. Shanmugapriya and Hemalatha [9] have explored fuzzy edge magic total labeling for some family of graphs and discussed the application of finding the strength of relationship between two persons. Shanmugapriya and Hemalatha [10] have obtained fuzzy vertex magic total labeling of generalized Peterson graph and demonstrated application about electricity passing through transformers.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Anti-Magic Labeling on Comb and Twing Graphs

Selvarasu,

Murugan

2024

MMEP

View full text Add to dashboard Cite

Fuzzy labeling in graph theory is important because it enhances the modelling of uncertainties, gives relationships a granular representation, makes network models more robust, enables clustering and community detection, contributes to decisionmaking, enables machine learning and data mining, and has applications in different fields where complex structures need to be expressed with degrees of membership or uncertainty. In this paper, we proved that the twing and comb graphs admit fuzzy labeling by providing an algorithm. Also, we show that the twing and comb graphs reveal vertex and edge anti-magic labeling. Fuzzy end vertex, fuzzy bridge, degree, strong degree, and strong edge are mostly related to connectivity, so they may be applied to networking. Because of that, we have derived some properties related to the fuzzy end vertex, fuzzy bridge, degree, strong degree, and strong edge have been discussed.

show abstract

A Note on Fuzzy Edge Magic Total Labeling Graphs

Cited by 4 publications

References 5 publications

A Modified Fuzzy Labeling Graph using Geometric Mean and Harmonic mean and its Application

A Modified Fuzzy Labeling Graph using Geometric Mean and Harmonic mean and its Application

Enabling Factors of NTFP Business Development for Ecosystem Restoration: The Case of Tamanu Oil in Indonesian Degraded Peatland

Fuzzy Anti-Magic Labeling on Comb and Twing Graphs

Contact Info

Product

Resources

About