If the newly introduced node were to always choose the root node as the target, a star graph would be generated.
2.
As a snark, the double-star graph is a connected, bridgeless cubic graph with chromatic index equal to 4.
3.
Lex later comes into possession of a strange object comprising various metal disks with star graphs on them, which turn to reveal a pair of rectangular slots.
4.
A geometric realization of the star graph, formed by identifying the edges with intervals of some fixed length, is used as a local model of curves in tropical geometry.
5.
A claw is another name for the complete bipartite graph " K " 1, 3 ( that is, a star graph with three edges, three leaves, and one central vertex ).
6.
In contrast, as noted in the previous section, the star graph " S " " k ", a structurally very simple example of a tree, has comparatively large bandwidth.
7.
Correspondingly, the total number of links L _ N in a network of N nodes can range from N " 1 ( star graph ) to N ( N " 1 ) / 2 ( complete graph ).
8.
Initially, all nodes are connected to the root r ( star graph ) and the network's cost is \ displaystyle \ sum _ { i = 0 } ^ n c _ { ri }; each of these edges is a gate.
9.
The value of H is maximized when the graph X contains one central node to which all other nodes are connected ( a star graph ), and in this case H = ( n-1 ) \ cdot ( ( n-1 )-1 ) = n ^ 2-3n + 2.
10.
The betweenness may be normalised by dividing through the number of pairs of vertices not including " v ", which for star graph, the center vertex ( which is contained in every possible shortest path ) would have a betweenness of ( n-1 ) ( n-2 ) / 2 ( 1, if normalised ) while the leaves ( which are contained in no shortest paths ) would have a betweenness of 0.
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