Applications of Graph Theory in Network Design
A detailed guide to applications of graph theory in network design. Covers key methods, mathematical significance, and real-world applications.
Mathematics Category
Graph Theory
23 articles
≈ 230 min total reading
Bipartite Graphs and Matchings
A detailed guide to bipartite graphs and matchings. Covers key methods, mathematical significance, and real-world applications.
Directed Graphs and Tournaments
A detailed guide to directed graphs and tournaments. Covers key methods, mathematical significance, and real-world applications.
Eulerian and Hamiltonian Graphs
A detailed guide to eulerian and hamiltonian graphs. Covers key methods, mathematical significance, and real-world applications.
Extremal Graph Theory: Turán's Theorem and Beyond
A detailed guide to extremal graph theory: turán's theorem and beyond. Covers key methods, mathematical significance, and real-world applications.
Graph Algorithms: Topological Sort and Strongly Connected Components
A detailed guide to graph algorithms: topological sort and strongly connected components. Covers key methods, mathematical significance, and real-world app
Graph Coloring: Vertex Coloring and Chromatic Number
A detailed guide to graph coloring: vertex coloring and chromatic number. Covers key methods, mathematical significance, and real-world applications.
Graph Connectivity: Vertex and Edge Connectivity
A detailed guide to graph connectivity: vertex and edge connectivity. Covers key methods, mathematical significance, and real-world applications.
Graph Isomorphism and Invariants
A detailed guide to graph isomorphism and invariants. Covers key methods, mathematical significance, and real-world applications.
Graph Minor Theory: Wagner's Theorem and Treewidth
A detailed guide to graph minor theory: wagner's theorem and treewidth. Covers key methods, mathematical significance, and real-world applications.
Graph Theory
Learn about graph theory — covering Graph Theory, Graph Fundamentals, and the role of graph mathematics in this fundamental mathematical topic.
Graph Theory in Social Networks and Web Analysis
A detailed guide to graph theory in social networks and web analysis. Covers key methods, mathematical significance, and real-world applications.
Graph Traversal: Breadth-First and Depth-First Search
A detailed guide to graph traversal: breadth-first and depth-first search. Covers key methods, mathematical significance, and real-world applications.
Graphs: Basic Definitions, Types, and Representations
A detailed guide to graphs: basic definitions, types, and representations. Covers key methods, mathematical significance, and real-world applications.
Network Flow and Max-Flow Min-Cut Theorem
A detailed guide to network flow and max-flow min-cut theorem. Covers key methods, mathematical significance, and real-world applications.
Planar Graphs and Euler's Formula
A detailed guide to planar graphs and euler's formula. Covers key methods, mathematical significance, and real-world applications.
Ramsey Theory: Basic Results in Graph Theory
A detailed guide to ramsey theory: basic results in graph theory. Covers key methods, mathematical significance, and real-world applications.
Random Graphs and the Erdős–Rényi Model
A detailed guide to random graphs and the erdős–rényi model. Covers key methods, mathematical significance, and real-world applications.
Shortest Path Algorithms: Dijkstra and Bellman-Ford
A detailed guide to shortest path algorithms: dijkstra and bellman-ford. Covers key methods, mathematical significance, and real-world applications.
Spanning Trees and Minimum Spanning Tree Algorithms
A detailed guide to spanning trees and minimum spanning tree algorithms. Covers key methods, mathematical significance, and real-world applications.
Spectral Graph Theory: Adjacency and Laplacian Spectra
A detailed guide to spectral graph theory: adjacency and laplacian spectra. Covers key methods, mathematical significance, and real-world applications.
Trees: Properties, Characterizations, and Applications
A detailed guide to trees: properties, characterizations, and applications. Covers key methods, mathematical significance, and real-world applications.
Vertex Cover and Independent Sets
A detailed guide to vertex cover and independent sets. Covers key methods, mathematical significance, and real-world applications.