# 2-reducible cycles containing three consecutive edges in (2k by Okamura H.

By Okamura H.

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**Extra resources for 2-reducible cycles containing three consecutive edges in (2k + 1)-edge-connected graphs**

**Example text**

Graphs and Comb. I, 81-89 (1985) 5. : Paths and edge-connectivity in graphs. J. Comb. Theory Ser. B 37, 151172 (1984) 6. : Paths in k-edge-connected graphs. J. Comb. Theory Ser. B 45, 345-355 (1988) 7. : Cycles containing three consecutive edges in 2k-edge-connected graphs, Topics in Combinatorics and Graph Theory (eds. R. Bodendiek and R. Henn), PhysieaVerlag Heidelberg (1991), 549-553 8. : 2-reducible cycles containing two specified edges in (2k + 1)-edgeconnected graphs, Contemporary Math.

References 1. : On a theorem of Mader. Discrete Mathematics 101, 49-57 (1992) 2. : Counterexamples to a conjecture of Mader about cycles through specified vertices in n-edge-connected graphs. Graphs and Comb. 8, 253-258 (1992) 3. : A reduction method for edge-connectivity in graphs. Ann. Discrete Math. 3, 145-164 (1978) 4. : Paths in graphs, reducing the edge-connectivity only by two. Graphs and Comb. I, 81-89 (1985) 5. : Paths and edge-connectivity in graphs. J. Comb. Theory Ser. B 37, 151172 (1984) 6.

11). This completes the proof of Propositions A, B and C and Theorem 1. [] Acknowledgment. The author would like to thank the referee for his helpful comments. References 1. : On a theorem of Mader. Discrete Mathematics 101, 49-57 (1992) 2. : Counterexamples to a conjecture of Mader about cycles through specified vertices in n-edge-connected graphs. Graphs and Comb. 8, 253-258 (1992) 3. : A reduction method for edge-connectivity in graphs. Ann. Discrete Math. 3, 145-164 (1978) 4. : Paths in graphs, reducing the edge-connectivity only by two.