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In the mathematical field of graph theory, the Franklin graph is a 3-regular graph with 12 vertices and 18 edges. The Franklin graph is named after Philip Franklin, who disproved the Heawood conjecture on the number of colors needed when a two-dimensional surface is partitioned into cells by a graph embedding.
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May 17, 2024. ( 2024-05-17) Franklin is a biographical drama miniseries about the United States Founding Father Benjamin Franklin, based on Stacy Schiff 's 2005 book A Great Improvisation: Franklin, France, and the Birth of America. It was released on Apple TV+ on April 12, 2024. [1] The series depicts the eight years Benjamin Franklin spent in ...
- Kirk Ellis
- Tim Van Patten
- A Great Improvisation: Franklin, France, and the Birth of America, by Stacy Schiff
- Biographical drama
Há 4 dias · The Franklin graph is the 12-vertex cubic graph shown above whose embedding on the Klein bottle divides it into regions having a minimal coloring using six colors, thus providing the sole counterexample to the Heawood conjecture. The graph is implemented in the Wolfram Language as GraphData["FranklinGraph"].
William Franklin Graham III (born July 14, 1952) is an American evangelist and missionary in the evangelical movement. He frequently engages in Christian revival tours and political commentary.
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Formal statement. The Franklin graph. Percy John Heawood conjectured in 1890 that for a given genus g > 0, the minimum number of colors necessary to color all graphs drawn on an orientable surface of that genus (or equivalently, to color the regions of any partition of the surface into simply connected regions) is given by.
In the mathematical field of graph theory, the Franklin graph is a 3-regular graph with 12 vertices and 18 edges. Contents. Algebraic properties; Gallery; References
In the mathematical field of graph theory, the Franklin graph is a 3-regular graph with 12 vertices and 18 edges. The Franklin graph is named after Philip Franklin, who disproved the Heawood conjecture on the number of colors needed when a two-dimensional surface is partitioned into cells by a graph embedding.
