Vertex (graph theory)

Formal sciences
Mathematics
Discrete mathematics
Graph theory

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Open Problems

Explores a variety of open problems in graph theory and computational complexity, challenging students to analyze and solve complex issues.

Free Energy and Semi-classical Propagator

Explores free energy calculation and semiclassical approximation in quantum physics, focusing on connected diagrams and propagators.

Convergence of Random Walks

Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.

Graph Theory Fundamentals

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

Expander Graphs: Properties and Eigenvalues

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Linear Programming: Weighted Bipartite Matching

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Soft Graphs and Subgraphs

Covers soft graphs and induced subgraphs in graph theory.

Cartesian Product: Graph Operations

Explores the Cartesian product operation on graphs and introduces the concept of cubes.

Graph Theory Fundamentals

Covers the fundamentals of graph theory, including vertices, edges, degrees, walks, connected graphs, cycles, and trees, with a focus on the number of edges in a tree.

Markov Chains: Applications and Analysis

Explores Markov chains, focusing on the coloring problem and algorithm analysis.