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Article
Spanning Eulerian Subgraphs in claw-free graphs
Journal of Combinatorial Mathematics and Combinatorial Computing
  • Zhi-Hong Chen, Butler University
  • Hong-Jian Lai
  • Weiqi Luo
  • Yehomg Shao
Document Type
Article
Publication Date
1-1-2006
Disciplines
Additional Publication URL
http://www.worldcat.org/oclc/204797957
Abstract

A graph is claw-free if it has no induced K 1,3, subgraph. A graph is essential 4-edge-connected if removing at most three edges, the resulting graph has at most one component having edges. In this note, we show that every essential 4-edge-connected claw free graph has a spanning Eulerian subgraph with maximum degree at most 4.

Rights

This is a pre-print version of this article. The version of record is available at Worldcat.

Citation Information
Zhi-Hong Chen, Hong-Jian Lai, Weiqi Luo and Yehomg Shao. "Spanning Eulerian Subgraphs in claw-free graphs" Journal of Combinatorial Mathematics and Combinatorial Computing Vol. 59 (2006) p. 165 - 172
Available at: http://works.bepress.com/zhi_hong_chen/4/