Few Results on Geometric Mean Graphs

Somasundaram, S.; Sandhya, S. S.; Viji, S. P.

doi:10.14445/22315373/ijmtt-v16p506

Cited by 4 publications

(4 citation statements)

References 2 publications

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“…Deshmukh and Shaikh discussed detailed Geometric mean graph results from various corona graphs [1]. The authors have discussed combining two graphs which admit the Geometric mean.…”

Section: Review Of Literaturementioning

confidence: 99%

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

Et al.

2023

anvi

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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.

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“…Deshmukh and Shaikh discussed detailed Geometric mean graph results from various corona graphs [1]. The authors have discussed combining two graphs which admit the Geometric mean.…”

Section: Review Of Literaturementioning

confidence: 99%

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

Et al.

2023

anvi

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“…For all other standard terminology and notations we follow Harary [3]. In [6] Somasundaram and Ponraj introduced and studied [9] mean labeling for some standard graphs. Sandhya and Somasundaram [5] introduced Harmonic mean labeling of graphs and Sandhya et al [4] studied the technique in detail.…”

Section: Introductionmentioning

confidence: 99%

Power Mean Labeling of Identification Graphs

2018

International Journal of Scientific and Innovative Mathematical

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“…Also we discuss some properties and eulerianity of total blitact graph, full graph and middle blict graph of a graph. Many other graph valued functions in graph theory were studied, for example, in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%