Papers

This section presents a collection of AHP/ANP papers. Whether you are a student, academic and/or professional in the field of decision making, you can help us expand this collection by sharing your papers on decision making with the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP).

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Paper results for keyword: Four color problem

Thirteen colorful variations on Guthrie

Thomas Saaty
Journal: The American Mathematical Monthly
After careful analysis of information regarding the origins of the four-color conjecture, Kenneth O. May concludes that: It was not the culmination of a series of individual efforts that flashes across the mind of Francis Guthrie while coloring a map of England... his brother communicated the co...

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Remarks on the four color problem; the Kempe catastrophe

Thomas Saaty
Journal: Mathematics Magazine
The original error discovered by Heawood in Kempe's attempt to prove the four-color conjecture is often encountered by many of those who follow the inductive argument approach to the problem. Perhaps the nature of the difficulty is not well appreciated. An old Chinese proverb urges that to know t...

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