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A two-connected planar graph without concurrent longest paths. (English) Zbl 0243.05110


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05C35 Extremal problems in graph theory
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References:

[1] Theory of graphs, ()
[2] Tutte, W.T, On Hamiltonian circuits, J. London math. soc., 21, 98-101, (1946) · Zbl 0061.41306
[3] Walther, H, Über die nichtexistenz eines knotenpunktes, durch den alle längsten wege eines graphen gehen, J. combinatorial theory, 6, 1-6, (1969) · Zbl 0184.27504
[4] Walther, H, Über die nichtexistenz zweier knotenpunkte eines graphen, die alle längsten kreise fassen, J. combinatorial theory, 8, 330-333, (1970) · Zbl 0191.55203
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