Mesure et action des i-permutations sur les multigraphes multicolores finis et inifinis
Among other results, the purpose of this article is to show the existence of an $\mathbb{R}$-space-vector with basis $ω^i_j $, $i, j$ are integers such that every graph with n vertex $n \geq 3$ is the vector: $$\mathcal{V}(n) = \sum_{j=0}^{n-1} {α^{n-1}_j} ω^{n-1}_j $$ where $α^{n-1}_j$ is the number of sub graphs of type $ω^{n-1}_j$ . We deduce that two graphs are isomorphic if for any measure, they have the same number of maximal proper subset with this measure.
math.GM↗