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

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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