What is...a knotted graph? скачать в хорошем качестве

What is...a knotted graph?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...a knotted graph? Or: Graphs in 3D. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html Thumbnail. https://sarcasticresonance.files.word... Planar graph. https://en.wikipedia.org/wiki/Planar_... http://discrete.openmathbooks.org/dmo... Petersen graph and its family. https://en.wikipedia.org/wiki/Peterse... https://en.wikipedia.org/wiki/Peterse... Knotted graphs. https://sarcasticresonance.wordpress.... https://mathoverflow.net/questions/79... Intrinsically knotted graph. https://people.reed.edu/~ormsbyk/138/... https://www.sciencedirect.com/science... https://math.osu.edu/sites/math.osu.e... Robertson-Seymour theorem. https://en.wikipedia.org/wiki/Roberts... https://www.ams.org/notices/200603/wh... https://cornellmath.wordpress.com/200... https://mathworld.wolfram.com/Roberts... Kuratowski and Wagner. https://math.stackexchange.com/questi... https://math.stackexchange.com/questi... Mathematica. https://demonstrations.wolfram.com/In... Pictures used. Petersen graph created with GraphData["PetersenGraph"] in Mathematica https://i.stack.imgur.com/LqWZ0.png Picture from https://repositories.lib.utexas.edu/b... Picture from https://demonstrations.wolfram.com/In... https://en.wikipedia.org/wiki/Peterse... Animation. https://en.wikipedia.org/wiki/Planar_... YouTube and co.    • Intrinsically Knotted Graphs      • Knots and Links in Spatial Graphs