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Answers for “在 Dijkstra 算法中,如何更新当前圈出顶点的邻居?”

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To update the neighbors, you calculate the total distance from the source to each unvisited neighbor by adding the edge weight to the current circled vertex's distance. You then write these new distances next to the neighbors.

Conditions: There is a current circled (settled) vertex.; The vertex has neighbors that are not yet circled.; Edge weights are known and non-negative.

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The initialization step involves assigning a distance of 0 to the starting vertex (home) and marking it as visited by drawing a circle around it. All other vertices are initially considered to have an infinite or undefined distance until they are updated by neighbor calculations.

Conditions: The algorithm is starting.; The source vertex is identified as 'home'.

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The rule is to select the uncircled vertex with the smallest tentative distance label. This vertex is then circled to mark it as settled, and a predecessor arrow is drawn from the vertex that supplied this smallest distance.

Conditions: There are uncircled vertices with assigned distance labels.; The algorithm is in the selection phase after updating neighbors.