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arXiv · 1506.08963

Mesure et action des i-permutations sur les multigraphes multicolores finis et inifinis

Mohamed Sghiar
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Abstract

Among other results, the purpose of this article is to show the existence of an $\mathbb{R}$-space-vector with basis $\omega^i_j $, $i, j$ are integers such that every graph with n vertex $n \geq 3$ is the vector: $$\mathcal{V}(n) = \sum_{j=0}^{n-1} {\alpha^{n-1}_j} \omega^{n-1}_j $$ where $\alpha^{n-1}_j$ is the number of sub graphs of type $\omega^{n-1}_j$ . We deduce that two graphs are isomorphic if for any measure, they have the same number of maximal proper subset with this measure.

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Mohamed Sghiar. 2015-06-30. Mesure et action des i-permutations sur les multigraphes multicolores finis et inifinis. https://arxiv.org/abs/1506.08963

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