Short Proofs for Two Theorems of Chien, Hell and Zhu

Document Type

Article

Publication Date

1-1-2011

Description

In (J Graph Theory 33 (2000), 14-24), Hell and Zhu proved that if a series-parallel graph G has girth at least 2⌊(3k-1)/2⌋, then χc(G)≤4k/(2k-1). In (J Graph Theory 33 (2000), 185-198), Chien and Zhu proved that the girth condition given in (J Graph Theory 33 (2000), 14-24) is sharp. Short proofs of both results are given in this note.

Share

COinS