Graph Theory, Lecture 1: Introduction
Introductory remarks: why choose graph theory at university? Wire cube puzzle; map colouring problem; basic definitions. Euler's Königsberg bridges theorem with proof (Chapter 1.8). Based on R.Diestel, Graph Theory, Springer GTM173, 6th edition 2025. Ebooks available at https://diestel-graph-theory.com under links "Standard eBook" and "Professional Edition".

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1. A bridge between graph theory and additive combinatorics

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Terence Tao - Delocalization of Eigenvectors of Random Matrices - A Survey (February 20, 2025)

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Steve Butler - A short course in Spectral Graph Theory

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