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

Year 2018, Volume: 47 Issue: 4, 805 - 812, 01.08.2018

Muhammad Ahsan Binyamin , Hafız Muhammad Afzal Siddiqui , Amir Shehzad

https://izlik.org/JA89DM77KC

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

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