Geodesic
Z_3-connectivity of K_{1,3}-free graphs without induced cycle of length at least 5
Ars Mathematica Contemporanea, Tome 11 (2016) no. 1, pp. 35-47.

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Jaeger et al. conjectured that every 5-edge-connected graph is Z_3-connected.  In this paper, we prove that every 4-edge-connected K_{1, 3}-free graph without any induced cycle of length at least 5 is Z_3-connected, which partially generalizes the earlier results of Lai [Graphs and Combin. 16 (2000) 165-176] and Fukunaga [Graphs and Combin. 27 (2011) 647-659].
DOI : 10.26493/1855-3974.733.105
Keywords: Z_3-connectivity, K_{1, 3}-free, nowhere-zero 3-flow 
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Xiangwen Li; Jianqing Ma. Z_3-connectivity of K_{1,3}-free graphs without induced cycle of length at least 5. Ars Mathematica Contemporanea, Tome 11 (2016) no. 1, pp. 35-47. doi : 10.26493/1855-3974.733.105. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.733.105/

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