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Visual secret sharing scheme with access structure based on graph has been proposed and this can be considered as an extension of (2,n)-threshold VSS scheme. Ateniese et al. showed a decomposition method that we decompose star graphs from a given graph which edges are specified by qualified sets, that is two participants (vertices in a given graph) has a common edge if and only if participants can reconstruct the secret image by stacking the shares each other. This paper classifies graph-based VSS schemes and show several optimal examples and also proposes optimal construction about graph-based VSS scheme for (multiple) q secrets which pixel expansion is less than 3*q.
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