Poussin Graph
المؤلف:
Kempe, A. B
المصدر:
"On the Geographical Problem of Four-Colors." Amer. J. Math. 2
الجزء والصفحة:
...
30-3-2022
1939
Poussin Graph
The Poussin graph is the 15-node planar graph illustrated above that tangles the Kempe chains in Kempe's algorithm and thus provides an example of how Kempe's supposed proof of the four-color theorem fails.
The Fritsch graph and Soifer graph provide smaller (and in fact the smallest possible) counterexamples.
REFERENCES
Gethner, E. and Springer, W. M. II. "How False Is Kempe's Proof of the Four-Color Theorem?" Congr. Numer. 164, 159-175, 2003.
Kempe, A. B. "On the Geographical Problem of Four-Colors." Amer. J. Math. 2, 193-200, 1879.
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