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

Linfan Mao
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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.

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BibTeXRIS

Linfan Mao. 2006-04-22. Smarandache Multi-Space Theory(II)--Multi-spaces on graphs. https://arxiv.org/abs/math/0604481

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