2 edition of Heawood map coloring conjecture found in the catalog.
Heawood map coloring conjecture
John William Theodore Youngs
|Statement||[by] J. W. T. Youngs.|
|Series||Rand Corporation. Memorandum RM-4752-PR|
|LC Classifications||Q180 .A1R36 no. 4752|
|The Physical Object|
|Pagination||vii, 79 p.|
|Number of Pages||79|
|LC Control Number||70004404|
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Full text Full text is available as a scanned copy of the original print version. Get a printable copy (PDF file) of the complete article (K), or click on a page image below to browse page by by: the Heawood map-coloring theorem will be established. We see the origin of the number on the right-hand side of the above equality in the following: Thm.
Such a map is called an r‐pire map on F 2. InHeawood proved that the countries of M can be properly colored with ⌊(6r+1+(6r+1)2−24ɛ)/2⌋ colors, where ε is the Euler characteristic. In Heawood [Map colour theorem, Quart. Pure Appl. Math. 24 () –] established an upper bound for the chromatic number of a graph embedded on a surface of Euler genus g⩾1.
The Heawood conjecture states that seven colors are necessary and sufficient to color a map on the surface of a torus so that no two bordering areas share the same color. James Grime on the Hadwiger–Nelson problem.
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