J4 ›› 2012, Vol. 47 ›› Issue (12): 22-24.

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he Z3-connectivity for 3-regular graph

DING Lu-shun, YAN Jin   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2011-09-29 Online:2012-12-20 Published:2012-12-14

Abstract:

A sufficient and necessary condition for 3-regular graphs is obtained. Namely, a 3-regular graph is Z3-connected if and only if it is graph 1 or graph 2.

Key words: graph; bipartite graph; 3-regular graph; nowhere-zero 3-flow; Z3-connected

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