4-connected Maximal Planar Graphs Are 4-ordered
نویسنده
چکیده
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the order a, b, c and d.
منابع مشابه
On Hamiltonian Cycles through Prescribed Edges of a Planar Graph
We use [3] for terminology and notation not defined here and consider finite simple graphs only. The first major result on the existence of hamiltonian cycles in graphs embeddable in surfaces was by H. Whitney [12] in 1931, who proved that 4-connected maximal planar graphs are hamiltonian. In 1956, W.T. Tutte [10,11] generalized Whitney’s result from maximal planar graphs to arbitrary 4-connect...
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عنوان ژورنال:
- Discrete Mathematics
دوره 257 شماره
صفحات -
تاریخ انتشار 2002