s-Regular cyclic coverings of the three-dimensional hypercube Q3
نویسندگان
چکیده
منابع مشابه
Regular cyclic coverings of regular affine maps
The regular coverings of regular affine algebraic maps are considered, and a large family of totally ramified coverings—the so-called Steinberg and Accola coverings—are fully classified.
متن کاملRegular Cyclic Coverings of the Platonic Maps
The Möbius-Kantor map {4 + 4, 3} [CMo, §8.8, 8.9] is a regular orientable map of type {8, 3} and genus 2. It is a 2-sheeted covering of the cube {4, 3}, branched over the centers of its six faces, each of which lifts to an octagonal face. Its (orientation-preserving) automorphism group is isomorphic to GL2(3), a double covering of the automorphism group PGL2(3) ∼= S4 of the cube. The aim of thi...
متن کاملCohomological Constructions of Regular Cyclic Coverings of the Platonic Maps
A Platonic map is a regular map M on the sphere S. Following [CMo] we say that M has type {n,m} if it has n-gonal faces and the vertices have valency m; since these parameters determine a Platonic map uniquely, one can unambiguously write M = {n,m}. As one must have 0 ≤ (m − 2)(n − 2) < 4, there are precisely the possibilities M = {n, 2} (dihedron), M = {2,m} (hosohedron), M = {3, 3} (tetrahedr...
متن کاملA characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective
This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.
متن کاملPATH COVERINGS WITH PRESCRIBED ENDS OF THE n−DIMENSIONAL BINARY HYPERCUBE
Let Qn be the n−dimensional binary hypercube, u1, u2 and u3 be distinct even vertices of Qn and v1, v2 and v3 be distinct odd vertices of Qn. We prove that if n ≥ 4, then there exist three paths in Qn, one joining u1 and v1, one joining u2 and u3 and one joining v2 and v3, such that every vertex ofQn belongs to exactly one of the paths.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2003
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(03)00055-6