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A finite undirected tree is connected and has no cycles.
Explore concept graph · Explore connected videos
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Euler paths traverse each edge once; Hamilton paths visit each vertex once.
Paths determine connected components; vertex and edge connectivity quantify robustness to removal.
Vertices and edges model connections, with directed and undirected variants.
Time and space requirements are expressed as functions of input size under a computational model.
Diophantine equations seek integer or rational solutions rather than unrestricted real solutions.
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.
Explore graph structures; paths, coloring and planarity; networks and spectral viewpoints. Concepts and connections are available independently of video coverage.