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

General Mathematics 2007-05-23 v1

Abstract

A Smarandache multi-space is a union of nn different spaces equipped with some different structures for an integer n2n\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 nn-manifold, graph phase, ......, etc.. New results are obtained.

Keywords

Cite

@article{arxiv.math/0604481,
  title  = {Smarandache Multi-Space Theory(II)--Multi-spaces on graphs},
  author = {Linfan Mao},
  journal= {arXiv preprint arXiv:math/0604481},
  year   = {2007}
}

Comments

78pages with 37 figures