A Topologically Complete Theory of Weaving

DOI10.1137/20M1312721zbMath1453.05069OpenAlexW3107626712MaRDI QIDQ5139663

Shiyu Hu, Jonathan L. Gross, Ergun Akleman, Jian'er Chen

Publication date: 10 December 2020

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1312721

zbMATH Keywords

computer graphicsweavinggraph imbedding2-dimensional manifoldgraph rotation system

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Combinatorial aspects of tessellation and tiling problems (05B45) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A celtic framework for knots and links
• Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
• The medial graph and voltage-current duality
• Über das Geschlecht von Knoten
• Extended graph rotation systems as a model for cyclic weaving on orientable surfaces
• Introduction to Topological Manifolds
• The Mathematical Coloring Book
• Satins and Twills: An Introduction to the Geometry of Fabrics
• The Jordan-Schonflies Theorem and the Classification of Surface

This page was built for publication: A Topologically Complete Theory of Weaving