Minimum Guardians in Graphs

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Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.

Explores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.

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

Covers girth, independence, probability, union bound, sets, and hypergraph recoloring.

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Introduces graph theory basics, Ramsey theory, and graph coloring concepts.

Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.

Explores coordination in networked control systems, graph theory, and consensus algorithms.

Explores the Cavity Method in Mean Field Theory, analyzing spins in an external field within a graph.

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