D. Petrie, <i>Screening Scotland</i>
نویسندگان
چکیده
منابع مشابه
Petrie-Coxeter Maps Revisited
This paper presents a technique for constructing new chiral or regular polyhedra (or maps) from self-dual abstract chiral polytopes of rank 4. From improperly self-dual chiral polytopes we derive “Petrie-Coxeter-type” polyhedra (abstract chiral analogues of the classical Petrie-Coxeter polyhedra) and investigate their groups of automorphisms.
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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...
متن کاملA new Petrie-like construction for abstract polytopes
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ژورنال
عنوان ژورنال: International Review of Scottish Studies
سال: 2007
ISSN: 1923-5763,1923-5755
DOI: 10.21083/irss.v26i0.227