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- W2076279327 abstract "1. Let Q * be the n-dimensional hypercube (or n-cube) whose vertices are the 2n vectors of dimension n with components 0's and l's. Let Qn be the graph that consists of the edges and vertices of Q,,*. A complete cycle (or Hamilton circuit) on Qn is a cyclic path on the graph Qn that passes through each vertex once and onlly once. Let C be such a cycle and let P1, P2, * * *, P2n=Po be the consecutive vertices of C. Any two consecutive vertices Pi, Pi+, differ in exactly one component. Let Ai denote the index of that component. Then A is called the ith change number of C. The subscripts i in the Pi and the Ai are taken modulo 2 . Clearly C is determined by P1 and tlle sequence of 2n change numbers" @default.
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- W2076279327 date "1963-01-01" @default.
- W2076279327 modified "2023-10-18" @default.
- W2076279327 title "Some complete cycles on the 𝑛-cube" @default.
- W2076279327 cites W2130586999 @default.
- W2076279327 doi "https://doi.org/10.1090/s0002-9939-1963-0151950-2" @default.
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