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This defines b uniquely because if two paths end at the same vertex then close them back to the reference vertex by a common path to see that b was uniquely defined.
Since circles both begin and end at the same vertex, notice that if we delete all the circles in this path we obtain a new path that lies entirely in T and has the same endpoints as L f (E i ).
It is remarked that loops (i.e. directed edges that start and end at the same vertex) are not allowed in reaction graphs.
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A cycle in a Tanner graph is a sequence of connected vertices that starts and ends at the same vertex in the graph, and which contains other vertices no more than once.
A circuit is a path starting and ending at the same vertex and the girth of the graph is the length of the shortest circuit.
Figure 7 illustrates that robots A and B have to end in vertices belonging to the same edge of G, but cannot both end in the same vertex.
We consider also a variant of robot convergence on graphs, edge covering, where additionally, it is required that not all robots end up on the same vertex.
What is the number Rn of random walks that do not touch the same vertex twice?
Fig. 2E shows the average occurrence probability of all lists with the same vertex degree as a function of list vertex degree.
As x is a NAD vertex, it maps to the same vertex s of S as one of its children, say the left child.
2) These TMS effects were significantly larger than the corresponding effect at the vertex for the same condition (vertex vs. IFG: t15 = 3.75, P = 0.002; vertex vs. pMTG: t15 = 3.14, P = 0.007).
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