CONTRACTIBLE HAMILTONIAN CYCLES IN POLYHEDRAL MAPS
نویسندگان
چکیده
منابع مشابه
Contractible Hamiltonian cycles in Polyhedral Maps
We present a necessary and sufficient condition for existence of a contractible Hamiltonian Cycle in the edge graph of equivelar maps on surfaces. We also present an algorithm to construct such cycles. This is further generalized and shown to hold for more general maps. AMS classification : 57Q15, 57M20, 57N05.
متن کاملContractible Hamiltonian Cycles in Triangulated Surfaces
A triangulation of a surface is called q-equivelar if each of its vertices is incident with exactly q triangles. In 1972 Altshuler had shown that an equivelar triangulation of torus has a Hamiltonian Circuit. Here we present a necessary and sufficient condition for existence of a contractible Hamiltonian Cycle in equivelar triangulation of a surface. AMS classification : 57Q15, 57M20, 57N05.
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In this note we show that deciding the existence of a Hamiltonian cycle in a cubic plane graph is equivalent to the problem of the existence of an associated cubic plane multi-3-gonal graph with a Hamiltonian cycle which takes alternately left and right edges at each successive vertex, i.e. it is also a Petrie cycle. The Petrie Hamiltonian cycle in an n-vertex plane cubic graph can be recognize...
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by R. E. L. Aldred1 University of Otago New Zealand
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ژورنال
عنوان ژورنال: Discrete Mathematics, Algorithms and Applications
سال: 2012
ISSN: 1793-8309,1793-8317
DOI: 10.1142/s1793830912500589