Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

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

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

Amir SHEHZAD, Muhammad Ahsan BÜNYAMİN, Hafiz Muhammad Afzal SİDDİQUİ

Sayfa
805–812
DOI
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Abstract

In this article we describe the classication 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 classication shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar