[1] **viXra:1103.0032 [pdf]**
*submitted on 11 Mar 2011*

**Authors:** Linfan Mao

**Comments:** 16 pages

An interesting symmetry on multiplication of numbers found by
Prof.Smarandache recently. By considering integers or elements in groups on
graphs, we extend this symmetry on graphs and find geometrical symmetries.
For extending further, Smarandache’s or combinatorial systems are also
discussed on general mathematical systems in this paper, particularly, the CC
conjecture presented by myself six years ago, which enables one to construct
symmetrical systems in mathematical sciences.

**Category:** Combinatorics and Graph Theory