Question Distance in graphs (02). The distance d(v, w) between two vertices v and w in an undirected graph is defined as the minimal length of any path connecting these two vertices. If v and w are...

Question<br>Distance in graphs (02).<br>The distance d(v, w) between two vertices v and w in an undirected graph is defined as the minimal<br>length of any path connecting these two vertices. If v and w are not connected, then d(v, w) = o. Now,<br>define the diameter of the graph G = (V, E) as<br>diam(G) = max d(v, w).<br>v, wEV<br>And define the radius of the graph as<br>rad(G) = min max d(v, w)<br>vEV wEV<br>Prove that<br>rad(G) < diam(G) < 2rad(G).<br>

Extracted text: Question Distance in graphs (02). The distance d(v, w) between two vertices v and w in an undirected graph is defined as the minimal length of any path connecting these two vertices. If v and w are not connected, then d(v, w) = o. Now, define the diameter of the graph G = (V, E) as diam(G) = max d(v, w). v, wEV And define the radius of the graph as rad(G) = min max d(v, w) vEV wEV Prove that rad(G) < diam(g)=""><>

Jun 04, 2022

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Question Distance in graphs (02). The distance d(v, w) between two vertices v and w in an undirected graph is defined as the minimal length of any path connecting these two vertices. If v and w are...

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