More on Graphs and Euler's Formula in Algebraic Topology - Lecture 10

More on Graphs and Euler's Formula in Algebraic Topology - Lecture 10

Explore applications of Euler's formula in planar situations, focusing on planar graphs, complete and complete bipartite graphs, the Five neighbours theorem, the Six colouring theorem, and Pick's formula. Learn how to compute the area of an integral polygonal figure by counting lattice points inside and on the boundary. Delve into this tenth lecture of a beginner's course in Algebraic Topology, presented by Professor N J Wildberger of UNSW. Gain valuable insights into graph theory and its connections to topology, enhancing your understanding of fundamental mathematical concepts and their practical applications.