Graphs with 4-Rainbow Index 3 and n − 1
Xueliang Li; Ingo Schiermeyer; Kang Yang; Yan Zhao
Discussiones Mathematicae Graph Theory (2015)
- Volume: 35, Issue: 2, page 387-398
- ISSN: 2083-5892
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] J.A. Bondy and U.S.R. Murty, Graph Theory (GTM 244, Springer, 2008).
- [2] Q. Cai, X. Li and J. Song, Solutions to conjectures on the (k, ℓ)-rainbow index of complete graphs, Networks 62 (2013) 220-224. doi:10.1002/net.21513[Crossref][WoS]
- [3] Y. Caro, A. Lev, Y. Roditty, Zs. Tuza and R. Yuster, On rainbow connection, Electron. J. Combin. 15 (2008) R57. Zbl1181.05037
- [4] G. Chartrand, G.L. Johns, K.A. McKeon and P. Zhang, Rainbow connection in graphs, Math. Bohem. 133 (2008) 85-98. Zbl1199.05106
- [5] G. Chartrand, G.L. Johns, K.A. McKeon and P. Zhang, The rainbow connectivity of a graph, Networks 54 (2009) 75-81. doi:10.1002/net.20296[WoS][Crossref] Zbl1205.05124
- [6] G. Chartrand, S.F. Kappor, L. Lesniak and D.R. Lick, Generalized connectivity in graphs, Bull. Bombay Math. Colloq 2 (1984) 1-6.
- [7] G. Chartrand, F. Okamoto and P. Zhang, Rainbow trees in graphs and generalized connectivity, Networks 55 (2010) 360-367. doi:10.1002/net.20399[Crossref][WoS] Zbl1205.05085
- [8] L. Chen, X. Li, K. Yang and Y. Zhao, The 3-rainbow index of a graph, Discuss. Math. Graph Theory 35 (2015) 81-94. doi:10.7151/dmgt.1780[WoS][Crossref] Zbl1307.05066
- [9] P. Erdős and A. Gyárfás, A variant of the classical Ramsey problem, Combinatorica 17 (1997) 459-467. doi:10.1007/BF01195000[Crossref] Zbl0910.05034
- [10] X. Li and Y. Sun, Rainbow Connections of Graphs (Springer Briefs in Math., Springer, New York, 2012). Zbl1250.05066
- [11] X. Li, Y. Shi and Y. Sun, Rainbow connections of graphs: A survey, Graphs Combin. 29 (2013) 1-38. doi:10.1007/s00373-012-1243-2[Crossref][WoS] Zbl1258.05058
- [12] X. Li, I. Schiermeyer, K. Yang and Y. Zhao, Graphs with 3-rainbow index n−1 and n − 2, Discuss. Math. Graph Theory 35 (2015) 105-120. doi:10.7151/dmgt.1783 [Crossref][WoS] Zbl1307.05051