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Decrement series of radio lines with large quantum numbers

✍ Scribed by S. A. Kaplan; V. V. Kulinich

Book ID
105031772
Publisher
Springer
Year
1978
Tongue
English
Weight
721 KB
Volume
13
Category
Article
ISSN
0571-7256

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It was proved by Hell and Zhu that, if G is a series-parallel graph of girth at least 2 (3k -1)/2 , then Ο‡ c (G) ≀ 4k/(2k -1). In this article, we prove that the girth requirement is sharp, i.e., for any k β‰₯ 2, there is a series-parallel graph G of girth 2 (3k -1)/2 -1 such that Ο‡ c (G) > 4k/(2k -1)