  Lattice theory has been believed to resist classical computers and quantum
computers. Since there are connections between traditional lattices and graphic
lattices, it is meaningful to research graphic lattices. We define the
so-called ice-flower systems by our uncolored or colored leaf-splitting and
leaf-coinciding operations. These ice-flower systems enable us to construct
several star-graphic lattices. We use our star-graphic lattices to express some
well-known results of graph theory and compute the number of elements of a
particular star-graphic lattice. For more researching ice-flower systems and
star-graphic lattices we propose Decomposition Number String Problem, finding
strongly colored uniform ice-flower systems and connecting our star-graphic
lattices with traditional lattices.
