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In this communications, the concept of top semirelib graph of a planar graph is introduced. We present a characterization of graphs, whose top semirelib graphs are always seperable. Further characterize graph whose plan T ps (T ) is planar and outer planar. Lastly we proved that T ps (T ) is always noneulerian and non Hamiltonian.doi:10.5120/11525-7246 fatcat:wyo625el6vatpoxhwkzoc22lcu