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Euler and Hamilton paths

Euler paths traverse each edge once; Hamilton paths visit each vertex once.

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More concepts to explore

  • Algorithmic complexity

    Time and space requirements are expressed as functions of input size under a computational model.

  • Graph matchings

    A matching is a set of edges with no shared endpoints.

  • Graphs

    Vertices and edges model connections, with directed and undirected variants.

  • Planar graphs

    A planar graph can be drawn without edge crossings except at shared endpoints.

  • Shortest path models

    Dijkstra solves non-negative networks; Bellman-Ford tolerates negative edges and underpins route pricing.

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Discrete Mathematics: Counting and Number Theory

Connect functions and counting with elementary number theory, graph structures and algorithmic reasoning. Shared concepts and reviewed map connections organize the path; video explanations are added as resources pass review.

LEARNING MAP

Graph Theory

Explore graph structures; paths, coloring and planarity; networks and spectral viewpoints. Concepts and connections are available independently of video coverage.

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