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Smarandache Multi-Space Theory(II)--Multi-spaces on graphs

Research paper by Linfan Mao

Indexed on: 22 Apr '06Published on: 22 Apr '06Published in: Mathematics - General Mathematics



Abstract

A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is second part on multi-spaces. Many conceptions in graphs are generalized by Smarandache's notion, such as multi-voltage graphs, Cayley graphs of a finite multi-group,multi-embedding of a graph in an $n$-manifold, graph phase, $...$, etc.. New results are obtained.