Longest Cycles of a 3-Connected Graph Which Contain Four Contractible Edges
Author:
Affiliation:
1. Department of Life Sciences, Toyo University, 1-1-1 Izumino, Itakura-machi, Oura-gun, Gunma, 374-0193 Japan
Publisher
SUT Journal of Mathematics - Tokyo University of Science
Subject
General Mathematics
Reference7 articles.
1. [1] R. E. L. Aldred, R. L. Hemminger and K. Ota, The 3-connected graphs having a longest cycle containing only three contractible edges, J. Graph Thory, 17 (1993), 361–371.
2. [2] N. Dean, R. L. Hemminger and K. Ota, Longest cycles in 3-connected graphs contain three contractible edges, J. Graph Theory, 13 (1989), 17–21.
3. [3] M. N. Ellingham, R. L. Hemminger and K. E. Johnson, Contractible edges in longest cycles in non-hamiltonian graphs, Discrete Math., 133 (1994), 89–98.
4. [4] K. Fujita, Longest cycles C in a 3-connected graph G such that C contains precisely four contractible edges of G, Math. Japon., 43 (1996), 99–116.
5. [5] K. Fujita and K. Kotani, Classification of hamiltonian cycles of a 3-connected graph which contain five contractible edges, SUT J. Math., 36 (2000) 287–350.
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1. Contractible edges in longest cycles;Journal of Graph Theory;2023-02-19
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