What are...intrinsically linked graphs?

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 are...intrinsically linked graphs? Or: Difficult problem, easy solution. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. www.dtubbenhauer.com/youtube.html TeX files for the presentation. github.com/dtubbenhauer/My-TeX-files Thumbnail. sarcasticresonance.files.wordpress.com/2017/09/3d_… Main discussion. Chapter 8 of www.math.cuhk.edu.hk/course_builder/1920/math4900e… mathworld.wolfram.com/IntrinsicallyLinkedGraph.htm… www.sciencedirect.com/science/article/pii/S0095895… people.reed.edu/~ormsbyk/138/ConwayGordon.pdf math.osu.edu/sites/math.osu.edu/files/KnottedGraph… H. Sachs. On spatial representations of finite graphs. In Colloquia Mathematica Societatis Janos Bolyai, volume 37, pages 649–662, 1984 Background material. mathscinet.ams.org/mathscinet/relay-station?mr=178… mathoverflow.net/questions/39650/beyond-an-intro-t… mathoverflow.net/questions/79488/is-there-a-knot-t… en.wikipedia.org/wiki/Petersen_graph en.wikipedia.org/wiki/Petersen_family en.wikipedia.org/wiki/Robertson%E2%80%93Seymour_th… www.ams.org/notices/200603/what-is.pdf cornellmath.wordpress.com/2007/06/30/9/ mathworld.wolfram.com/Robertson-SeymourTheorem.htm… Computer talk. demonstrations.wolfram.com/IntrinsicallyKnottedGra… Petersen graph created with GraphData["PetersenGraph"] in Mathematica demonstrations.wolfram.com/GiantComponentInRandomG… Pictures used. Picture from en.wikipedia.org/wiki/Wagner%27s_theorem Picture from    • What is...a knotted graph?   A picture that I forgot where I got it from (sorry!) Another picture from    • What is...a knotted graph?   sarcasticresonance.wordpress.com/wp-content/upload… YouTube and co.    • What is...a knotted graph?   (Shameful selfpromotion)    • Homfly Polynomial of Knotted Trivalen...      • 3 21 Kuratowski's Theorem   #graphtheory #topology #mathematics