Connected geodesic number of a fuzzy graph

Rehmani, Sameeha; Sunitha, M. S.

doi:10.30948/afmi.2018.16.3.301

Cited by 4 publications

(6 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Akram [43] developed the SVNGS concept. S. Mathew [32] introduced the idea of an FG's energy, and Mullai, M., and Broumi, S. (2020) introduced the idea of Dominating Energy in NGs. But, when a SVNGS comes in a real-life situation, it is very necessary to know about the SVNGS with its energy of 𝜆 𝐽 -dominating.…”

Section: Discussionmentioning

confidence: 99%

“…The idea of edge-vertex domination on interval graphs in 2024 was recently introduced by Shambayati, H., Shafiei Nikabadi, M., Saberi, S., et al [27]. In the FS environment, the energy of a graph was first proposed by Anjali and Mathew [32]. Sharbaf and Fayazi [33] introduced the idea of LE of FGs and extended some results on LE bounds to FGs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Approach on Energy of λJ-dominating Single-Valued Neutrosophic Graph Structure

Bathusha,

Raj

2024

Neutrosophic syst. appl.

View full text Add to dashboard Cite

The concept of dominance is one of the most important ideas in graph theory for handling random events, and it has drawn the interest from many scholars. Research related to graph energy has garnered a lot focus recently. The application of single-valued neutrosophic graphs (SVNGs) for energy, Laplacian energy, and dominating energy has been recommended by previous studies. In this research, we apply the concepts of single-valued neutrosophic sets (SVNS) to graph structures (GSs) and investigate some intriguing features of single-valued neutrosophic graph structures (SVNGS). Moreover, the notions of λJ-dominating energy GS in an SVNGS environment are analyzed in this study. More specifically, illustrative examples are used to develop the adjacency matrix of a λJ-dominating SVNGS, as well as the spectrum of the adjacency matrix and their related theory. Further, the SVNGS λJ-dominating energy is determined. We go over various characteristics and constraints for the energy of SVNGS with λJ-dominating. Further, we introduce the idea of isomorphic and identical λJ-dominating SVNGS energy, which has been studied using relevant examples, and some of its established properties are presented.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Approach on Energy of λJ-dominating Single-Valued Neutrosophic Graph Structure

Bathusha,

Raj

2024

Neutrosophic syst. appl.

View full text Add to dashboard Cite

show abstract

“…Definition 2.4. [12] Let Ĝ be a simple fuzzy graph having n vertices and m edges and Â be its n× n adjacency matrix. Let ξ 1 ≥ ξ 2 ≥ • • • ≥ ξ n be the eigenvalues of Â.…”

Section: Preliminary Conceptsmentioning

confidence: 99%

“…For Laplacian energy, refer [20]. Many research papers were written on the fuzzy graph energy and their real life applications in decision making problems, refer [4,5,8,12,35,36,38,41]. Naz et al [36] investigated the energy of bipolar fuzzy graph and utilized it in a decision making problem.…”

Section: Introductionmentioning

confidence: 99%

Wiener Energies of Fuzzy Graphs with Application in Total Quality Management

Ahmad

Hussain

Saeid

2023

Preprint

View full text Add to dashboard Cite

In this paper, fuzzy Wiener matrix, Wiener Laplacian matrix and corresponding energies of fuzzy graph are defined. A bound on largest eigenvalue of fuzzy Wiener matrix is presented. Several results related to eigenvalues of fuzzy Wiener and fuzzy Wiener Laplacian matrices are proved. Several upper and lower bounds for energies of these matrices are also established in terms of parameters like, number of vertices, edges, minimum and maximum vertex and edge membership, etc. Finally, the idea of fuzzy Wiener energy is applied in multi criteria decision making of best organizations based on implementation of total quality management(TQM) attributes.

show abstract

“…The concept of a graph's energy is expanded to include a fuzzy graph's energy. For further study, refer to [13][14][15][16][17][18][19][20][21]. Here the concept of a Seidel Laplacian (Sl) graph's energy is expanded to a fuzzy graph's energy for Seidel Laplacian.…”

Section: Introductionmentioning

confidence: 99%

Seidel Laplacian Energy of Fuzzy graphs

Sivaranjani,

Shanmuga Sundaram,

Akalyadevi

2024

EAI Endorsed Trans Energy Web

View full text Add to dashboard Cite

The energy of a graph is related to its spectrum, which is equal to the total of the latent values of the pertinent adjacency matrix. In this research work, we proposed some of the features and the energy of the Seidel Laplacian of a fuzzy graph. Also, the lower and upper bounds for the energy of the Seidel Laplacian of a fuzzy graph were studied with suitable illustrative examples.

show abstract

Connected geodesic number of a fuzzy graph

Cited by 4 publications

References 24 publications

A Novel Approach on Energy of λJ-dominating Single-Valued Neutrosophic Graph Structure

A Novel Approach on Energy of λJ-dominating Single-Valued Neutrosophic Graph Structure

Wiener Energies of Fuzzy Graphs with Application in Total Quality Management

Seidel Laplacian Energy of Fuzzy graphs

Contact Info

Product

Resources

About