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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 4

A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities

Muhammad Ahsan Binyamin
Hafız Muhammad Afzal Siddiqui
Amir Shehzad
Pages
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Publication Date
2018-08-01
DOI
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AI Summary & Key Takeaways

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

The classification shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article we describe the classification of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics.
📊
Key Findings & Data:In this article we describe the classification of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics.
💡
Conclusion & Impact:The classification shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Plane Curves · Weights · Caterpillar

Abstract

In this article we describe the classification of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics. The classification shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar.

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Cite This Article

Binyamin, M. A., Siddiqui, H. M. A., Shehzad, A. (2018). A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 4. https://ajindex.com/articles/1402905

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References (9)

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