Universal vertex

Related lectures (9)

Introduces Vectorworks Educational Version for architectural drawings, covering tools, layers, and annotations.

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

Explores counting labeled trees using Prüfer codes and algorithms, providing maps between trees and sequences.

Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.

Introduces graph sketching, generalizations like multigraphs, and weighted graphs.

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Covers vertex degree, isolated and final vertices, even and odd vertices, and the handshaking lemma in graph theory.

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

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