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The Glauber Dynamics on Colorings of a Graph with High Girth and Maximum Degree

✍ Scribed by Molloy, Michael


Book ID
118180430
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
216 KB
Volume
33
Category
Article
ISSN
0097-5397

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In this paper, we prove that any edge-coloring critical graph G with maximum degree ¿ (11 + √ 49 -24 )=2, where 6 1, has the size at least 3(|V (G)| -) + 1 if 6 7 or if ¿ 8 and |V (G)| ¿ 2 --4 -( + 6)=( -6), where is the minimum degree of G. It generalizes a result of Sanders and Zhao.