function?[??]?=?king（?t0?pre_level_t_vec?level?num_nodes?）
%KING?Summary?of?this?function?goes?here
%???Detailed?explanation?goes?here

????num_t0?=?num_nodes?-?1;

????if?level?>=?num_nodes
????????return
????else
????????level?=?level?+?1;
????end

????if?isempty（pre_level_t_vec）
????????cur_level_t_mat?=?t0.‘;
????else
????????num_pre_level_t_vec?=?numel（pre_level_t_vec）;
????????last_edge_pre_level_t_vec?=?pre_level_t_vec（end）;
????????last_edge_ind?=?find（t0==last_edge_pre_level_t_vec）;