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Vortices and superfields on a graph

✍ Scribed by Kan, Nahomi; Kobayashi, Koichiro; Shiraishi, Kiyoshi

Book ID: 126747983
Publisher: The American Physical Society
Year: 2009
Tongue: English
Weight: 397 KB
Volume: 80
Category: Article
ISSN: 1550-7998
DOI: 10.1103/PhysRevD.80.045005

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## dedicated to professor w. t. tutte on the occasion of his eightieth birtday It is known that the chromatic number of a graph G=(V, E) with V= [1, 2, ..., n] exceeds k iff the graph polynomial f G => ij # E, i<j (x i &x j ) lies in certain ideals. We describe a short proof of this result, using