Critical Set of Caterpillar Graph for Secret Sharing Scheme

Chairul Imron1, Budi Setiyono2, R. Simanjuntak3, Edy T. Baskoro
1Mathematics Department ITS
2Mathematics Department ITB
3

Abstract

We investigate the critical set of edge-magic labeling on caterpillar graphs and its application on secret sharing schemes. We construct a distribution scheme based on supervisory secret sharing schemes, which use the notion of critical sets to distribute the shares and reconstruct the key.

Keywords: Caterpillar graph, secret sharing scheme, edge-magic to- tal labeling, critical sets.