%% *****************两点间最短路的Dijkstra算法********* % 输入:a 表示图的权值矩阵 // % 输出:d 表示所求最短路的权和 // % index1 表示标号顶点顺序 // % index2 表示标号顶点索引 // %% function [d index1 index2] = Dijkf(a) % 参数初始化 M = max(max(a)); pb(1:length(a)) = 0; pb(1) = 1; index1 = 1; index2 = ones(1, length(a)); d(1:length(a)) = M; d(1) = 0; temp = 1; % 更新t(x),同时记录顶点顺序和顶点索引 while sum(pb) < length(a) tb = find(pb == 0); d(tb) = min(d(tb), d(temp) + a(temp, tb)); tmpb = find(d(tb) == min(d(tb))); temp = tb(tmpb(1)); % tmpb可能有多个 pb(temp) = 1; index1 = [index1, temp]; index = index1(find(d(index1) == d(temp) - a(temp, index1))); if length(index) >= 2 index = index(1); end index2(temp) = index; end index1; index2;