Year 2018, Volume 47, Issue 4, Pages 805 - 812 2018-08-01

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

Muhammad Ahsan Binyamin [1] , Hafız Muhammad Afzal Siddiqui [2] , Amir Shehzad [3]

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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.
Plane Curves, Weights, Caterpillar
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Author: Muhammad Ahsan Binyamin

Author: Hafız Muhammad Afzal Siddiqui

Author: Amir Shehzad

Dates

Publication Date: August 1, 2018

Bibtex @research article { hujms452848, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe University}, year = {2018}, volume = {47}, pages = {805 - 812}, doi = {}, title = {A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities}, key = {cite}, author = {Binyamin, Muhammad Ahsan and Siddiqui, Hafız Muhammad Afzal and Shehzad, Amir} }
APA Binyamin, M , Siddiqui, H , Shehzad, A . (2018). A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities. Hacettepe Journal of Mathematics and Statistics, 47 (4), 805-812. Retrieved from http://dergipark.org.tr/hujms/issue/38872/452848
MLA Binyamin, M , Siddiqui, H , Shehzad, A . "A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities". Hacettepe Journal of Mathematics and Statistics 47 (2018): 805-812 <http://dergipark.org.tr/hujms/issue/38872/452848>
Chicago Binyamin, M , Siddiqui, H , Shehzad, A . "A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities". Hacettepe Journal of Mathematics and Statistics 47 (2018): 805-812
RIS TY - JOUR T1 - A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities AU - Muhammad Ahsan Binyamin , Hafız Muhammad Afzal Siddiqui , Amir Shehzad Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 805 EP - 812 VL - 47 IS - 4 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities %A Muhammad Ahsan Binyamin , Hafız Muhammad Afzal Siddiqui , Amir Shehzad %T A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 4 %R %U
ISNAD Binyamin, Muhammad Ahsan , Siddiqui, Hafız Muhammad Afzal , Shehzad, Amir . "A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities". Hacettepe Journal of Mathematics and Statistics 47 / 4 (August 2018): 805-812.
AMA Binyamin M , Siddiqui H , Shehzad A . A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities. Hacettepe Journal of Mathematics and Statistics. 2018; 47(4): 805-812.
Vancouver Binyamin M , Siddiqui H , Shehzad A . A combinatorial approach to the classification of resolution graphs of weighted homogeneous plane curve singularities. Hacettepe Journal of Mathematics and Statistics. 2018; 47(4): 812-805.