- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 4
- A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane c...
A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities
Authors : Muhammad Ahsan Binyamin, Hafız Muhammad Afzal Siddiqui, Amir Shehzad
Pages : 805-812
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Publication Date : 2018-08-01
Article Type : Research
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.Keywords : Plane Curves, Weights, Caterpillar