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Journals / Gazi University Journal of Science / 2015 / Volume: 28 Issue: 4

The Upper Bound For The Largest Signless Laplacian Eigenvalue Of Weighted Graphs

Şerife Büyükköse
Nurşah Mutlu
Pages
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Publication Date
2015-12-16
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also we obtain some results on weighted and unweighted graphs by using this bound.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where the edge weights are positive definite square matrices.
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Key Findings & Data:In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where the edge weights are positive definite square matrices.
💡
Conclusion & Impact:Also we obtain some results on weighted and unweighted graphs by using this bound.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted graph · signless Laplacian eigenvalue · upper bound

Abstract

In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where the edge weights are positive definite square matrices. Also we obtain some results on weighted and unweighted graphs by using this bound.

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Cite This Article

Büyükköse, Ş., Mutlu, N. (2015). The Upper Bound For The Largest Signless Laplacian Eigenvalue Of Weighted Graphs. Gazi University Journal of Science, Volume: 28 Issue: 4. https://ajindex.com/articles/1269561

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References (9)

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