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What is the distance of a graph traversal algorithm?
Breadth-first search (BFS) is a graph traversal algorithm that explores nodes in the order of their distance from the roots, where distance is defined as the minimum path length from a root to the node.
How to find two most distant points in a set?
EDIT: One way is to find the convex hull http://en.wikipedia.org/wiki/Convex_hull of the set of points and then the two distant points are vertices of this. Boundary point algorithms abound (look for convex hull algorithms). From there, it should take O (N) time to find the most-distant opposite points.
How are nodes assigned in a graph traversal?
In this algorithm, graph nodes are assigned one of three colors that can change over time: White nodes are undiscovered nodes that have not been seen yet in the current traversal and may even be unreachable. Black nodes are nodes that are reachable and that the algorithm is done with.
How to find two most distant points in a hull?
Boundary point algorithms abound (look for convex hull algorithms). From there, it should take O (N) time to find the most-distant opposite points. From the author’s comment: first find any pair of opposite points on the hull, and then walk around it in semi-lock-step fashion.
How is a traversal of a graph classified?
In computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals are classified by the order in which the vertices are visited.
What’s the maximum number of edges in an undirected graph?
The maximum number of edges in an undirected graph without a loop is n ( n − 1)/2. For any edge u and v in an undirected graph, we call u a neighbor of v and vice versa. The degree of a node is its number of neighbors. In directed graphs, we have two kinds of neighbors.