Eric teacher graph theory class Today Eric teach independent set edgeinduce subgraphgiven graph GVE independent set subset vertex V subset V pair uv v uv e ie edge e connect vertex VAn edgeinduce subgraph consist subset edge E subset E vertex original graph incident edge subgraphGiven e subset E denote GE edgeinduce subgraph E edge set subgraph here illustration definition in order help student familiar definition leave follow problem exercisegiven tree GVE calculate sum wH null edgeinduce subgraph h g wH number independent set H formally calculate sum limits_emptyset e subset E wgeshow Eric smart student provide correct answer quickly possible note answer large output answer modulo 998244353