Mar 29, 2018 · 24 What is the difference between these fundamental types? In drawings I see that the directed has arrows, but what exactly is meant by these arrows in the directed graph and the lack …

The graph is undirected, and therefore, the when the algorithm inspects an edge, there are only two possibilities: Either it has visited the other end of the edge, or it has and then, this edge closes a …

In the context of Dijkstra's algorithm, whether the graph is directed or undirected does not matter. Dijkstra's algorithm simply references the adjacent vertices of a vertex. It is this adjacency list that …

Oct 31, 2023 · Here, once again, the undirected edges mean something qualitatively different from a pair of directed edges. From the beginning, in fact, a chain graph is required to have no cycles made …

Dec 9, 2024 · A multi-graph is like an undirected graph, but it can have both multiple edges between vertices and self-loops So this explains why CLRS concludes "there are no back edges and no …

Let G = (V, E) be an undirected, connected graph whose weight function is w: E → R, and suppose that |E| = |V) and all edge weights are distinct. We define a second-best minimum spanning tree as follows.

Nov 24, 2014 · Yes.. The minimum number of edges for undirected connected graph is edges. To see this, since the graph is connected then there must be a unique path from every vertex to every other …

Give an example of a simple, undirected, and unweighted graph G (V,E) that has a single source shortest path tree which a breadth-first traversal will not return for any ordering of its vertices.

Jan 14, 2013 · I have read that Trees are special cases of Graphs. Graphs can be directed or undirected. But if we consider tree as a data structure is it directed or undirected graph?

Sep 11, 2012 · Finding all cycles in an undirected graph Cycles in an Undirected Graph -> detects only whether there is a cycle or not Finding polygons within an undirected Graph -> very nice description, …