Infinite graphs | Parametric families of graphs

Henson graph

In graph theory, the Henson graph Gi is an undirected infinite graph, the unique countable homogeneous graph that does not contain an i-vertex clique but that does contain all Ki-free finite graphs as induced subgraphs. For instance, G3 is a triangle-free graph that contains all finite triangle-free graphs. These graphs are named after C. Ward Henson, who published a construction for them (for all i ≥ 3) in 1971. The first of these graphs, G3, is also called the homogeneous triangle-free graph or the universal triangle-free graph. (Wikipedia).

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This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

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Jim Henson, the man behind the Muppets, began working as a puppeteer in college, where Kermit the Frog made his debut. His lovable characters were featured on TV shows like "The Muppet Show" and films such as "The Muppet Movie." #Biography Subscribe for more Biography: http://aetv.us/2AsWM

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Reaching the North Pole is no small feat. While many believe the first person to accomplish this daunting task was either Robert Peary or Frederick Cook, the title might actually belong to an African American explorer named Matthew Henson. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About

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Related pages

Universal graph | Graph theory | Clique (graph theory) | Chromatic number | Induced subgraph | Homogeneous graph | Hamiltonian path | Triangle-free graph | Rado graph