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An upper bound on the length of a Hamiltonian walk of a maximal planar graph. (English) Zbl 0433.05037


MSC:

05C35 Extremal problems in graph theory
05C38 Paths and cycles
05C10 Planar graphs; geometric and topological aspects of graph theory
05C45 Eulerian and Hamiltonian graphs

Citations:

Zbl 0413.05023
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References:

[1] Barnette, J. Combinatorial Theory 2 pp 54– (1970) · Zbl 0197.49904
[2] On Hamiltonian walks. In Proceedings of the 5th British Combinatorial Conference, Aberdeen (1975) 41–51.
[3] Goodman, SIAM J. Comput. 3 pp 214– (1974)
[4] Grünbaum, J. Combinatorial Theory Ser. A 6 pp 364– (1973)
[5] Graph Theory. Addison-Wesley, Reading, Mass. (1969).
[6] Hamiltonian pseudo cycles in graphs. Proceedings 5th Southeastern Conference Combinatorics, Graph Theory and Computing, Boca Raton (1975) 529–533.
[7] Moon, Pacific J. Math. 13 pp 629– (1963) · Zbl 0115.41001
[8] Whitney, Annals Math. 32 pp 378– (1931)
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